32443 (number)
32,443 (thirtytwo thousand four hundred fortythree) is an odd fivedigits prime number following 32442 and preceding 32444. In scientific notation, it is written as 3.2443 × 10^{4}. The sum of its digits is 16. It has a total of 1 prime factor and 2 positive divisors. There are 32,442 positive integers (up to 32443) that are relatively prime to 32443.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 16
 Digital Root 7
Name
Short name  32 thousand 443 

Full name  thirtytwo thousand four hundred fortythree 
Notation
Scientific notation  3.2443 × 10^{4} 

Engineering notation  32.443 × 10^{3} 
Prime Factorization of 32443
Prime Factorization 32443
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  32443  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  10.387239982375  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 32,443 is 32443. Since it has a total of 1 prime factor, 32,443 is a prime number.
Divisors of 32443
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  32444  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  16222  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  180.11940484023  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999383553199  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 32,443 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 32,443) is 32,444, the average is 16,222.
Other Arithmetic Functions (n = 32443)
φ(n)  Euler Totient  32442  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  32442  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 3484  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 32,442 positive integers (less than 32,443) that are coprime with 32,443. And there are approximately 3,484 prime numbers less than or equal to 32,443.
Divisibility of 32443
m  2  3  4  5  6  7  8  9 

n mod m  1  1  3  3  1  5  3  7 
32,443 is not divisible by any number less than or equal to 9.
Classification of 32443
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
 Nonhypotenuse
By Powers
 Prime Power
 Square Free
Base conversion (32443)
Base  System  Value 

2  Binary  111111010111011 
3  Ternary  1122111121 
4  Quaternary  13322323 
5  Quinary  2014233 
6  Senary  410111 
8  Octal  77273 
10  Decimal  32443 
12  Duodecimal  16937 
16  Hexadecimal  7ebb 
20  Vigesimal  4123 
36  Base36  p17 
Basic calculations (n = 32443)
Multiplication
n×yn×2  64886 

n×3  97329 
n×4  129772 
n×5  162215 
Division
n÷yn÷2  16221.500 

n÷3  10814.333 
n÷4  8110.750 
n÷5  6488.600 
Exponentiation
n^{y}n^{2}  1052548249 

n^{3}  34147822842307 
n^{4}  1107857816472966001 
n^{5}  35942231139832435970443 
Nth Root
^{y}√n^{2}√n  180.11940484023 

^{3}√n  31.893854025726 
^{4}√n  13.420857082923 
^{5}√n  7.9840675246931 
32443 as geometric shapes
Circle
Radius = nDiameter  64886 

Circumference  203845.38092083 
Area  3306677846.6072 
Sphere
Radius = nVolume  1.4303806583664E+14 

Surface area  13226711386.429 
Circumference  203845.38092083 
Square
Length = nPerimeter  129772 

Area  1052548249 
Diagonal  45881.33060407 
Cube
Length = nSurface area  6315289494 

Volume  34147822842307 
Space diagonal  56192.924349957 
Equilateral Triangle
Length = nPerimeter  97329 

Area  455766761.17141 
Altitude  28096.462174979 
Triangular Pyramid
Length = nSurface area  1823067044.6857 

Volume  4024359515758.7 
Height  26489.598575038 
Cryptographic Hash Functions
md5  e724e5ad0d0df625744239ef1c60e5e8 

sha1  e107c87c343f2eb35b91a700e2257cc30d5585cb 
sha256  df19e50a0b24068165a850e4909d9f5b983f30d273c28f2bb91d880136daabcc 
sha512  ac85b12f8c29a8e807c544cd0934f9d5672da37415ee041860e796f27f42a0a2012fbc4407d10d98e93805a9ce2d54ed81d32e72f42556d8e7cff7dd413fbee4 
ripemd160  fa475810abad442c446981f6072527f094ae47aa 