305093712 has 320 divisors, whose sum is σ = 1063931904. Its totient is φ = 72990720.

The previous prime is 305093707. The next prime is 305093881. The reversal of 305093712 is 217390503.

It is a self number, because there is not a number n which added to its sum of digits gives 305093712.

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 63 ways as a sum of consecutive naturals, for example, 3145248 + ... + 3145344.

Almost surely, 2^305093712 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 305093712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531965952).

305093712 is an abundant number, since it is smaller than the sum of its proper divisors (758838192).

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

305093712 is a wasteful number, since it uses less digits than its factorization.

305093712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 305093712 is about 17466.9319572729. The cubic root of 305093712 is about 673.2004831083.

The spelling of 305093712 in words is "three hundred five million, ninety-three thousand, seven hundred twelve".