312390144 has 120 divisors (see below), whose sum is σ = 983700432. Its totient is φ = 94648320.

The previous prime is 312390139. The next prime is 312390151. The reversal of 312390144 is 441093213.

It is an unprimeable number.

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, 47607 + ... + 53769.

Almost surely, 2^312390144 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 312390144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491850216).

312390144 is an abundant number, since it is smaller than the sum of its proper divisors (671310288).

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

312390144 is a wasteful number, since it uses less digits than its factorization.

312390144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6198 (or 6179 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 312390144 is about 17674.5620596381. The cubic root of 312390144 is about 678.5248761458.

The spelling of 312390144 in words is "three hundred twelve million, three hundred ninety thousand, one hundred forty-four".