312429144 has 32 divisors (see below), whose sum is σ = 787230720. Its totient is φ = 103322016.

The previous prime is 312429133. The next prime is 312429149. The reversal of 312429144 is 441924213.

It is a super-2 number, since 2×312429144² = 195223940041145472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312429149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48204 + ... + 54299.

It is an arithmetic number, because the mean of its divisors is an integer number (24600960).

Almost surely, 2^312429144 is an apocalyptic number.

It is an amenable number.

312429144 is an abundant number, since it is smaller than the sum of its proper divisors (474801576).

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

312429144 is a wasteful number, since it uses less digits than its factorization.

312429144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102639 (or 102635 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 312429144 is about 17675.6653057247. The cubic root of 312429144 is about 678.5531115319.

The spelling of 312429144 in words is "three hundred twelve million, four hundred twenty-nine thousand, one hundred forty-four".