309131964 has 72 divisors (see below), whose sum is σ = 830230128. Its totient is φ = 100517760.

The previous prime is 309131959. The next prime is 309131989. The reversal of 309131964 is 469131903.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35974 + ... + 43730.

It is an arithmetic number, because the mean of its divisors is an integer number (11530974).

Almost surely, 2^309131964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309131964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415115064).

309131964 is an abundant number, since it is smaller than the sum of its proper divisors (521098164).

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

309131964 is a wasteful number, since it uses less digits than its factorization.

309131964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7817 (or 7803 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 309131964 is about 17582.1490154076. The cubic root of 309131964 is about 676.1576578698.

The spelling of 309131964 in words is "three hundred nine million, one hundred thirty-one thousand, nine hundred sixty-four".