312397344 has 288 divisors, whose sum is σ = 1089365760. Its totient is φ = 86800896.

The previous prime is 312397333. The next prime is 312397417. The reversal of 312397344 is 443793213.

312397344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (54432) is a multiple of the sum of its prime divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 312397299 and 312397308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1989714 + ... + 1989870.

It is an arithmetic number, because the mean of its divisors is an integer number (3782520).

Almost surely, 2^312397344 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 312397344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544682880).

312397344 is an abundant number, since it is smaller than the sum of its proper divisors (776968416).

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

312397344 is a wasteful number, since it uses less digits than its factorization.

312397344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 216 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 312397344 is about 17674.7657410219. The cubic root of 312397344 is about 678.5300890094.

It can be divided in two parts, 31239 and 7344, that added together give a palindrome (38583).

The spelling of 312397344 in words is "three hundred twelve million, three hundred ninety-seven thousand, three hundred forty-four".