312413640 has 128 divisors (see below), whose sum is σ = 1168542720. Its totient is φ = 64915200.

The previous prime is 312413627. The next prime is 312413671. The reversal of 312413640 is 46314213.

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 312413640.

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, 7666 + ... + 26145.

It is an arithmetic number, because the mean of its divisors is an integer number (9129240).

Almost surely, 2^312413640 is an apocalyptic number.

312413640 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 312413640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584271360).

312413640 is an abundant number, since it is smaller than the sum of its proper divisors (856129080).

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

312413640 is a wasteful number, since it uses less digits than its factorization.

312413640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33843 (or 33839 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 312413640 is about 17675.2267312190. The cubic root of 312413640 is about 678.5418871614.

Adding to 312413640 its reverse (46314213), we get a palindrome (358727853).

The spelling of 312413640 in words is "three hundred twelve million, four hundred thirteen thousand, six hundred forty".