312251040 has 72 divisors (see below), whose sum is σ = 1065561588. Its totient is φ = 83266560.

The previous prime is 312251011. The next prime is 312251041. The reversal of 312251040 is 40152213.

It can be written as a sum of positive squares in 2 ways, for example, as 295702416 + 16548624 = 17196^2 + 4068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312251041) by changing a digit.

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, 106981 + ... + 109860.

Almost surely, 2^312251040 is an apocalyptic number.

312251040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312251040 is an abundant number, since it is smaller than the sum of its proper divisors (753310548).

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

312251040 is a wasteful number, since it uses less digits than its factorization.

312251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216862 (or 216851 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 312251040 is about 17670.6264744632. The cubic root of 312251040 is about 678.4241478959.

The spelling of 312251040 in words is "three hundred twelve million, two hundred fifty-one thousand, forty".