312345630 has 48 divisors (see below), whose sum is σ = 812972160. Its totient is φ = 83202624.

The previous prime is 312345533. The next prime is 312345637. The reversal of 312345630 is 36543213.

It is a happy number.

312345630 is a `hidden beast` number, since 3 + 1 + 23 + 4 + 5 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 312345594 and 312345603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312345637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157324 + ... + 159296.

It is an arithmetic number, because the mean of its divisors is an integer number (16936920).

Almost surely, 2^312345630 is an apocalyptic number.

312345630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312345630 is an abundant number, since it is smaller than the sum of its proper divisors (500626530).

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

312345630 is a wasteful number, since it uses less digits than its factorization.

312345630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 312345630 is about 17673.3027473645. The cubic root of 312345630 is about 678.4926458384.

Adding to 312345630 its reverse (36543213), we get a palindrome (348888843).

It can be divided in two parts, 31234 and 5630, that added together give a square (36864 = 192²).

The spelling of 312345630 in words is "three hundred twelve million, three hundred forty-five thousand, six hundred thirty".