313274304 has 280 divisors, whose sum is σ = 1084295520. Its totient is φ = 87588864.

The previous prime is 313274281. The next prime is 313274321. The reversal of 313274304 is 403472313.

313274304 is a `hidden beast` number, since 31 + 327 + 4 + 304 = 666.

313274304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 3229584 + ... + 3229680.

It is an arithmetic number, because the mean of its divisors is an integer number (3872484).

Almost surely, 2^313274304 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 313274304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542147760).

313274304 is an abundant number, since it is smaller than the sum of its proper divisors (771021216).

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

313274304 is an equidigital number, since it uses as much as digits as its factorization.

313274304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 313274304 is about 17699.5566046158. The cubic root of 313274304 is about 679.1644177191.

The spelling of 313274304 in words is "three hundred thirteen million, two hundred seventy-four thousand, three hundred four".