305370768 has 80 divisors (see below), whose sum is σ = 816683840. Its totient is φ = 98247168.

The previous prime is 305370749. The next prime is 305370781. The reversal of 305370768 is 867073503.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246246 + ... + 247482.

It is an arithmetic number, because the mean of its divisors is an integer number (10208548).

Almost surely, 2^305370768 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 305370768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408341920).

305370768 is an abundant number, since it is smaller than the sum of its proper divisors (511313072).

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

305370768 is a wasteful number, since it uses less digits than its factorization.

305370768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 305370768 is about 17474.8610294903. The cubic root of 305370768 is about 673.4041995363.

The spelling of 305370768 in words is "three hundred five million, three hundred seventy thousand, seven hundred sixty-eight".