312344400 has 240 divisors, whose sum is σ = 1081055808. Its totient is φ = 76800000.

The previous prime is 312344377. The next prime is 312344411. The reversal of 312344400 is 4443213.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×312344400² = 195118048422720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1244275 + ... + 1244525.

Almost surely, 2^312344400 is an apocalyptic number.

312344400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540527904).

312344400 is an abundant number, since it is smaller than the sum of its proper divisors (768711408).

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

312344400 is a wasteful number, since it uses less digits than its factorization.

312344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 312344400 is about 17673.2679490806. The cubic root of 312344400 is about 678.4917552150.

Adding to 312344400 its reverse (4443213), we get a palindrome (316787613).

The spelling of 312344400 in words is "three hundred twelve million, three hundred forty-four thousand, four hundred".