312344040 has 64 divisors (see below), whose sum is σ = 986356800. Its totient is φ = 78907392.

The previous prime is 312344029. The next prime is 312344041. The reversal of 312344040 is 40443213.

312344040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 312343998 and 312344016.

It is not an unprimeable number, because it can be changed into a prime (312344041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66217 + ... + 70776.

It is an arithmetic number, because the mean of its divisors is an integer number (15411825).

Almost surely, 2^312344040 is an apocalyptic number.

312344040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312344040 is an abundant number, since it is smaller than the sum of its proper divisors (674012760).

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

312344040 is a wasteful number, since it uses less digits than its factorization.

312344040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137026 (or 137022 counting only the distinct ones).

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

The square root of 312344040 is about 17673.2577642041. The cubic root of 312344040 is about 678.4914945442.

Adding to 312344040 its reverse (40443213), we get a palindrome (352787253).

The spelling of 312344040 in words is "three hundred twelve million, three hundred forty-four thousand, forty".