306968832 has 144 divisors (see below), whose sum is σ = 919800000. Its totient is φ = 100970496.

The previous prime is 306968801. The next prime is 306968839. The reversal of 306968832 is 238869603.

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (306968839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614919 + ... + 615417.

It is an arithmetic number, because the mean of its divisors is an integer number (6387500).

Almost surely, 2^306968832 is an apocalyptic number.

306968832 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 306968832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459900000).

306968832 is an abundant number, since it is smaller than the sum of its proper divisors (612831168).

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

306968832 is an equidigital number, since it uses as much as digits as its factorization.

306968832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 306968832 is about 17520.5260195007. The cubic root of 306968832 is about 674.5768409489.

The spelling of 306968832 in words is "three hundred six million, nine hundred sixty-eight thousand, eight hundred thirty-two".