309142920 has 64 divisors (see below), whose sum is σ = 976248000. Its totient is φ = 78098688.

The previous prime is 309142919. The next prime is 309142957. The reversal of 309142920 is 29241903.

It is a super-2 number, since 2×309142920² = 191138689972252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65515 + ... + 70074.

It is an arithmetic number, because the mean of its divisors is an integer number (15253875).

Almost surely, 2^309142920 is an apocalyptic number.

309142920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

309142920 is an abundant number, since it is smaller than the sum of its proper divisors (667105080).

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

309142920 is a wasteful number, since it uses less digits than its factorization.

309142920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135622 (or 135618 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 309142920 is about 17582.4605786562. The cubic root of 309142920 is about 676.1656457160.

The spelling of 309142920 in words is "three hundred nine million, one hundred forty-two thousand, nine hundred twenty".