313456704 has 112 divisors (see below), whose sum is σ = 910620480. Its totient is φ = 94371840.

The previous prime is 313456697. The next prime is 313456723. The reversal of 313456704 is 407654313.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407232 + ... + 408000.

It is an arithmetic number, because the mean of its divisors is an integer number (8130540).

Almost surely, 2^313456704 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 313456704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455310240).

313456704 is an abundant number, since it is smaller than the sum of its proper divisors (597163776).

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

313456704 is a wasteful number, since it uses less digits than its factorization.

313456704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 313456704 is about 17704.7085262650. The cubic root of 313456704 is about 679.2962037754.

The spelling of 313456704 in words is "three hundred thirteen million, four hundred fifty-six thousand, seven hundred four".