312354304 has 40 divisors (see below), whose sum is σ = 628997688. Its totient is φ = 154951680.

The previous prime is 312354299. The next prime is 312354313. The reversal of 312354304 is 403453213.

It is a super-2 number, since 2×312354304² = 195130422454648832, 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 3 ways as a sum of consecutive naturals, for example, 64744 + ... + 69400.

Almost surely, 2^312354304 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 312354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314498844).

312354304 is an abundant number, since it is smaller than the sum of its proper divisors (316643384).

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

312354304 is an equidigital number, since it uses as much as digits as its factorization.

312354304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4806 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 312354304 is about 17673.5481440485. The cubic root of 312354304 is about 678.4989264778.

The spelling of 312354304 in words is "three hundred twelve million, three hundred fifty-four thousand, three hundred four".