32369 (number)
32,369 (thirtytwo thousand three hundred sixtynine) is an odd fivedigits prime number following 32368 and preceding 32370. In scientific notation, it is written as 3.2369 × 10^{4}. The sum of its digits is 23. It has a total of 1 prime factor and 2 positive divisors. There are 32,368 positive integers (up to 32369) that are relatively prime to 32369.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 23
 Digital Root 5
Name
Short name  32 thousand 369 

Full name  thirtytwo thousand three hundred sixtynine 
Notation
Scientific notation  3.2369 × 10^{4} 

Engineering notation  32.369 × 10^{3} 
Prime Factorization of 32369
Prime Factorization 32369
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  32369  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  10.384956453641  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 32,369 is 32369. Since it has a total of 1 prime factor, 32,369 is a prime number.
Divisors of 32369
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  32370  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  16185  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  179.91386828146  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.999938214396  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 32,369 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 32,369) is 32,370, the average is 16,185.
Other Arithmetic Functions (n = 32369)
φ(n)  Euler Totient  32368  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  32368  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 3477  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 32,368 positive integers (less than 32,369) that are coprime with 32,369. And there are approximately 3,477 prime numbers less than or equal to 32,369.
Divisibility of 32369
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  4  5  1  1  5 
32,369 is not divisible by any number less than or equal to 9.
Classification of 32369
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (32369)
Base  System  Value 

2  Binary  111111001110001 
3  Ternary  1122101212 
4  Quaternary  13321301 
5  Quinary  2013434 
6  Senary  405505 
8  Octal  77161 
10  Decimal  32369 
12  Duodecimal  16895 
16  Hexadecimal  7e71 
20  Vigesimal  40i9 
36  Base36  oz5 
Basic calculations (n = 32369)
Multiplication
n×yn×2  64738 

n×3  97107 
n×4  129476 
n×5  161845 
Division
n÷yn÷2  16184.500 

n÷3  10789.666 
n÷4  8092.250 
n÷5  6473.800 
Exponentiation
n^{y}n^{2}  1047752161 

n^{3}  33914689699409 
n^{4}  1097784590880169921 
n^{5}  35534189422200220172849 
Nth Root
^{y}√n^{2}√n  179.91386828146 

^{3}√n  31.869586418824 
^{4}√n  13.413197541282 
^{5}√n  7.9804219877038 
32369 as geometric shapes
Circle
Radius = nDiameter  64738 

Circumference  203380.4252081 
Area  3291610491.7804 
Sphere
Radius = nVolume  1.4206152001125E+14 

Surface area  13166441967.122 
Circumference  203380.4252081 
Square
Length = nPerimeter  129476 

Area  1047752161 
Diagonal  45776.678800455 
Cube
Length = nSurface area  6286512966 

Volume  33914689699409 
Space diagonal  56064.752590197 
Equilateral Triangle
Length = nPerimeter  97107 

Area  453689994.14802 
Altitude  28032.376295098 
Triangular Pyramid
Length = nSurface area  1814759976.5921 

Volume  3996884511381.6 
Height  26429.17782805 
Cryptographic Hash Functions
md5  c940d2fd9b40144a1f97ac8883514a8c 

sha1  93b01ec0a73c61b18dbd07d4b420ce1f62968332 
sha256  d488c6111272d6eeabc4a85e50948b97da0d010c723460ab4cacd14462bb5bcd 
sha512  48d9be51fe99651e84c2aa93d57c8aeaeea47896dc60324bcf39a59068662cf42c2014965b0cb13ad386d7618ce78a1c0675d307ce5df2c351023aeadf2562b1 
ripemd160  c5d379b4fff186aa4659455cecf26a51754e3663 