309234432 has 144 divisors (see below), whose sum is σ = 906554880. Its totient is φ = 92983296.

The previous prime is 309234421. The next prime is 309234439. The reversal of 309234432 is 234432903.

It is a self number, because there is not a number n which added to its sum of digits gives 309234432.

It is not an unprimeable number, because it can be changed into a prime (309234439) 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 15 ways as a sum of consecutive naturals, for example, 468919 + ... + 469577.

It is an arithmetic number, because the mean of its divisors is an integer number (6295520).

Almost surely, 2^309234432 is an apocalyptic number.

309234432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453277440).

309234432 is an abundant number, since it is smaller than the sum of its proper divisors (597320448).

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

309234432 is a wasteful number, since it uses less digits than its factorization.

309234432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 309234432 is about 17585.0627522338. The cubic root of 309234432 is about 676.2323582967.

The spelling of 309234432 in words is "three hundred nine million, two hundred thirty-four thousand, four hundred thirty-two".