312300320 has 48 divisors (see below), whose sum is σ = 739118520. Its totient is φ = 124698624.

The previous prime is 312300311. The next prime is 312300341. The reversal of 312300320 is 23003213.

It can be written as a sum of positive squares in 4 ways, for example, as 262569616 + 49730704 = 16204^2 + 7052^2 .

It is a junction number, because it is equal to n+sod(n) for n = 312300295 and 312300304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112064 + ... + 114816.

Almost surely, 2^312300320 is an apocalyptic number.

It is an amenable number.

312300320 is an abundant number, since it is smaller than the sum of its proper divisors (426818200).

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

312300320 is a wasteful number, since it uses less digits than its factorization.

312300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3477 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 312300320 is about 17672.0208238899. The cubic root of 312300320 is about 678.4598360433.

Adding to 312300320 its reverse (23003213), we get a palindrome (335303533).

The spelling of 312300320 in words is "three hundred twelve million, three hundred thousand, three hundred twenty".