312074240 has 112 divisors (see below), whose sum is σ = 790315920. Its totient is φ = 117964800.

The previous prime is 312074209. The next prime is 312074261. The reversal of 312074240 is 42470213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 778040 + ... + 778440.

Almost surely, 2^312074240 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 312074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395157960).

312074240 is an abundant number, since it is smaller than the sum of its proper divisors (478241680).

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

312074240 is an equidigital number, since it uses as much as digits as its factorization.

312074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 312074240 is about 17665.6231138333. The cubic root of 312074240 is about 678.2960799642.

The spelling of 312074240 in words is "three hundred twelve million, seventy-four thousand, two hundred forty".