306018400 has 72 divisors (see below), whose sum is σ = 751592520. Its totient is φ = 121666560.

The previous prime is 306018397. The next prime is 306018431. The reversal of 306018400 is 4810603.

It is a super-2 number, since 2×306018400² = 187294522277120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142132 + ... + 144268.

It is an arithmetic number, because the mean of its divisors is an integer number (10438785).

Almost surely, 2^306018400 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 306018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375796260).

306018400 is an abundant number, since it is smaller than the sum of its proper divisors (445574120).

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

306018400 is a wasteful number, since it uses less digits than its factorization.

306018400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 306018400 is about 17493.3816056245. The cubic root of 306018400 is about 673.8799165004.

The spelling of 306018400 in words is "three hundred six million, eighteen thousand, four hundred".