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315904 = 29617
BaseRepresentation
bin1001101001000000000
3121001100011
41031020000
540102104
610434304
72454001
oct1151000
9531304
10315904
111a6386
12132994
13b0a34
14831a8
1563904
hex4d200

315904 has 20 divisors (see below), whose sum is σ = 632214. Its totient is φ = 157696.

The previous prime is 315899. The next prime is 315907. The reversal of 315904 is 409513.

It can be written as a sum of positive squares in only one way, i.e., 313600 + 2304 = 560^2 + 48^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (315907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204 + ... + 820.

2315904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316107).

315904 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

315904 is an frugal number, since it uses more digits than its factorization.

315904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 315904 is about 562.0533782480. The cubic root of 315904 is about 68.1059478749.

The spelling of 315904 in words is "three hundred fifteen thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 617 1234 2468 4936 9872 19744 39488 78976 157952 315904