312252144 has 40 divisors (see below), whose sum is σ = 807448320. Its totient is φ = 103981248.

The previous prime is 312252121. The next prime is 312252167. The reversal of 312252144 is 441252213.

It is an interprime number because it is at equal distance from previous prime (312252121) and next prime (312252167).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 57849 + ... + 63015.

It is an arithmetic number, because the mean of its divisors is an integer number (20186208).

Almost surely, 2^312252144 is an apocalyptic number.

It is an amenable number.

312252144 is an abundant number, since it is smaller than the sum of its proper divisors (495196176).

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

312252144 is a wasteful number, since it uses less digits than its factorization.

312252144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6437 (or 6431 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 312252144 is about 17670.6577127169. The cubic root of 312252144 is about 678.4249474442.

The spelling of 312252144 in words is "three hundred twelve million, two hundred fifty-two thousand, one hundred forty-four".