313643904 has 192 divisors, whose sum is σ = 986054400. Its totient is φ = 88058880.

The previous prime is 313643881. The next prime is 313643917. The reversal of 313643904 is 409346313.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×313643904² = 196744997032722432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1486359 + ... + 1486569.

It is an arithmetic number, because the mean of its divisors is an integer number (5135700).

Almost surely, 2^313643904 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 313643904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493027200).

313643904 is an abundant number, since it is smaller than the sum of its proper divisors (672410496).

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

313643904 is a wasteful number, since it uses less digits than its factorization.

313643904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 313643904 is about 17709.9944664023. The cubic root of 313643904 is about 679.4314047366.

The spelling of 313643904 in words is "three hundred thirteen million, six hundred forty-three thousand, nine hundred four".