306342400 has 240 divisors, whose sum is σ = 937689984. Its totient is φ = 96583680.

The previous prime is 306342371. The next prime is 306342401. The reversal of 306342400 is 4243603.

306342400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (306342401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164669 + ... + 1164931.

Almost surely, 2^306342400 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 306342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468844992).

306342400 is an abundant number, since it is smaller than the sum of its proper divisors (631347584).

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

306342400 is a wasteful number, since it uses less digits than its factorization.

306342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 306342400 is about 17502.6398008986. The cubic root of 306342400 is about 674.1176582862.

The spelling of 306342400 in words is "three hundred six million, three hundred forty-two thousand, four hundred".