313007328 has 72 divisors (see below), whose sum is σ = 923104728. Its totient is φ = 104333184.

The previous prime is 313007323. The next prime is 313007333. The reversal of 313007328 is 823700313.

313007328 is a `hidden beast` number, since 31 + 300 + 7 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (313007323) and next prime (313007333).

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313007323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12351 + ... + 27902.

It is an arithmetic number, because the mean of its divisors is an integer number (12820899).

Almost surely, 2^313007328 is an apocalyptic number.

It is an amenable number.

313007328 is an abundant number, since it is smaller than the sum of its proper divisors (610097400).

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

313007328 is an equidigital number, since it uses as much as digits as its factorization.

313007328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40278 (or 40258 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 313007328 is about 17692.0131132667. The cubic root of 313007328 is about 678.9714322859.

The spelling of 313007328 in words is "three hundred thirteen million, seven thousand, three hundred twenty-eight".