306382496 has 72 divisors (see below), whose sum is σ = 720771156. Its totient is φ = 127733760.

The previous prime is 306382493. The next prime is 306382499. The reversal of 306382496 is 694283603.

It is an interprime number because it is at equal distance from previous prime (306382493) and next prime (306382499).

It can be written as a sum of positive squares in 2 ways, for example, as 306250000 + 132496 = 17500^2 + 364^2 .

It is not an unprimeable number, because it can be changed into a prime (306382493) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55376 + ... + 60656.

Almost surely, 2^306382496 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 306382496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360385578).

306382496 is an abundant number, since it is smaller than the sum of its proper divisors (414388660).

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

306382496 is a wasteful number, since it uses less digits than its factorization.

306382496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5342 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

The square root of 306382496 is about 17503.7851906381. The cubic root of 306382496 is about 674.1470679081.

The spelling of 306382496 in words is "three hundred six million, three hundred eighty-two thousand, four hundred ninety-six".