312344375 has 80 divisors (see below), whose sum is σ = 479846400. Its totient is φ = 202860000.

The previous prime is 312344359. The next prime is 312344377. The reversal of 312344375 is 573443213.

It is not a de Polignac number, because 312344375 - 2⁴ = 312344359 is a prime.

Its product of digits (30240) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312344377) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6645602 + ... + 6645648.

It is an arithmetic number, because the mean of its divisors is an integer number (5998080).

Almost surely, 2^312344375 is an apocalyptic number.

312344375 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

312344375 is a deficient number, since it is larger than the sum of its proper divisors (167502025).

312344375 is an frugal number, since it uses more digits than its factorization.

312344375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 90 counting only the distinct ones).

The product of its digits is 30240, while the sum is 32.

The square root of 312344375 is about 17673.2672417977. The cubic root of 312344375 is about 678.4917371128.

Adding to 312344375 its reverse (573443213), we get a palindrome (885787588).

It can be divided in two parts, 31 and 2344375, that multiplied together give a square (72675625 = 8525²).

The spelling of 312344375 in words is "three hundred twelve million, three hundred forty-four thousand, three hundred seventy-five".