309364072 has 32 divisors (see below), whose sum is σ = 591208200. Its totient is φ = 151732224.

The previous prime is 309364063. The next prime is 309364073. The reversal of 309364072 is 270463903.

309364072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 276024996 + 33339076 = 16614^2 + 5774^2 .

It is a super-2 number, since 2×309364072² = 191412258088842368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (309364073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113704 + ... + 116392.

Almost surely, 2^309364072 is an apocalyptic number.

It is an amenable number.

309364072 is a deficient number, since it is larger than the sum of its proper divisors (281844128).

309364072 is a wasteful number, since it uses less digits than its factorization.

309364072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 309364072 is about 17588.7484489375. The cubic root of 309364072 is about 676.3268438023.

Subtracting from 309364072 its reverse (270463903), we obtain a square (38900169 = 6237²).

The spelling of 309364072 in words is "three hundred nine million, three hundred sixty-four thousand, seventy-two".