305032768 has 56 divisors (see below), whose sum is σ = 643335264. Its totient is φ = 143001600.

The previous prime is 305032733. The next prime is 305032769. The reversal of 305032768 is 867230503.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (305032769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 533923 + ... + 534493.

Almost surely, 2^305032768 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 305032768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321667632).

305032768 is an abundant number, since it is smaller than the sum of its proper divisors (338302496).

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

305032768 is a wasteful number, since it uses less digits than its factorization.

305032768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 305032768 is about 17465.1873164876. The cubic root of 305032768 is about 673.1556550651.

The spelling of 305032768 in words is "three hundred five million, thirty-two thousand, seven hundred sixty-eight".