313952256 has 72 divisors (see below), whose sum is σ = 906804990. Its totient is φ = 104644608.

The previous prime is 313952203. The next prime is 313952263. The reversal of 313952256 is 652259313.

313952256 is a `hidden beast` number, since 313 + 95 + 2 + 256 = 666.

It can be written as a sum of positive squares in only one way, i.e., 295289856 + 18662400 = 17184^2 + 4320^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 313952256.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9916 + ... + 26948.

Almost surely, 2^313952256 is an apocalyptic number.

313952256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313952256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453402495).

313952256 is an abundant number, since it is smaller than the sum of its proper divisors (592852734).

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

313952256 is a wasteful number, since it uses less digits than its factorization.

313952256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17061 (or 17038 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 313952256 is about 17718.6979205584. The cubic root of 313952256 is about 679.6539877476.

The spelling of 313952256 in words is "three hundred thirteen million, nine hundred fifty-two thousand, two hundred fifty-six".