305194064 has 80 divisors (see below), whose sum is σ = 724953600. Its totient is φ = 121485312.

The previous prime is 305194063. The next prime is 305194073. The reversal of 305194064 is 460491503.

It is a super-3 number, since 3×305194064³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 305194064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305194063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149402 + ... + 151430.

It is an arithmetic number, because the mean of its divisors is an integer number (9061920).

Almost surely, 2^305194064 is an apocalyptic number.

305194064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305194064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362476800).

305194064 is an abundant number, since it is smaller than the sum of its proper divisors (419759536).

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

305194064 is a wasteful number, since it uses less digits than its factorization.

305194064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 305194064 is about 17469.8043492193. The cubic root of 305194064 is about 673.2742851420.

The spelling of 305194064 in words is "three hundred five million, one hundred ninety-four thousand, sixty-four".