312994320 has 80 divisors (see below), whose sum is σ = 973812672. Its totient is φ = 83161600.

The previous prime is 312994313. The next prime is 312994337. The reversal of 312994320 is 23499213.

It is a tau number, because it is divible by the number of its divisors (80).

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, 68095 + ... + 72545.

Almost surely, 2^312994320 is an apocalyptic number.

312994320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312994320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486906336).

312994320 is an abundant number, since it is smaller than the sum of its proper divisors (660818352).

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

312994320 is a wasteful number, since it uses less digits than its factorization.

312994320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 312994320 is about 17691.6454859349. The cubic root of 312994320 is about 678.9620265607.

The spelling of 312994320 in words is "three hundred twelve million, nine hundred ninety-four thousand, three hundred twenty".