313344756 has 36 divisors (see below), whose sum is σ = 797859972. Its totient is φ = 103684224.

The previous prime is 313344743. The next prime is 313344761. The reversal of 313344756 is 657443313.

It can be written as a sum of positive squares in 2 ways, for example, as 188128656 + 125216100 = 13716^2 + 11190^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×313344756² = 196369872225399072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 313344756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26835 + ... + 36698.

It is an arithmetic number, because the mean of its divisors is an integer number (22162777).

Almost surely, 2^313344756 is an apocalyptic number.

313344756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

313344756 is an abundant number, since it is smaller than the sum of its proper divisors (484515216).

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

313344756 is a wasteful number, since it uses less digits than its factorization.

313344756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63680 (or 63675 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 313344756 is about 17701.5467120814. The cubic root of 313344756 is about 679.2153261451.

The spelling of 313344756 in words is "three hundred thirteen million, three hundred forty-four thousand, seven hundred fifty-six".