307038420 has 72 divisors (see below), whose sum is σ = 1002999816. Its totient is φ = 75578112.

The previous prime is 307038409. The next prime is 307038449. The reversal of 307038420 is 24830703.

It can be written as a sum of positive squares in 4 ways, for example, as 66292164 + 240746256 = 8142^2 + 15516^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 63267 + ... + 67946.

It is an arithmetic number, because the mean of its divisors is an integer number (13930553).

Almost surely, 2^307038420 is an apocalyptic number.

307038420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

307038420 is an abundant number, since it is smaller than the sum of its proper divisors (695961396).

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

307038420 is a wasteful number, since it uses less digits than its factorization.

307038420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131241 (or 131236 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 307038420 is about 17522.5118062451. The cubic root of 307038420 is about 674.6278112772.

The spelling of 307038420 in words is "three hundred seven million, thirty-eight thousand, four hundred twenty".