312243360 has 192 divisors, whose sum is σ = 1155772800. Its totient is φ = 69857280.

The previous prime is 312243353. The next prime is 312243391. The reversal of 312243360 is 63342213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 312243360.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66366 + ... + 70914.

It is an arithmetic number, because the mean of its divisors is an integer number (6019650).

Almost surely, 2^312243360 is an apocalyptic number.

312243360 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 312243360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577886400).

312243360 is an abundant number, since it is smaller than the sum of its proper divisors (843529440).

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

312243360 is a wasteful number, since it uses less digits than its factorization.

312243360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4591 (or 4583 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 312243360 is about 17670.4091633442. The cubic root of 312243360 is about 678.4185857685.

Adding to 312243360 its reverse (63342213), we get a palindrome (375585573).

The spelling of 312243360 in words is "three hundred twelve million, two hundred forty-three thousand, three hundred sixty".