305706732 has 48 divisors (see below), whose sum is σ = 756416640. Its totient is φ = 95824512.

The previous prime is 305706707. The next prime is 305706757. The reversal of 305706732 is 237607503.

305706732 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (305706707) and next prime (305706757).

It is a junction number, because it is equal to n+sod(n) for n = 305706693 and 305706702.

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, 26343 + ... + 36129.

It is an arithmetic number, because the mean of its divisors is an integer number (15758680).

Almost surely, 2^305706732 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 305706732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378208320).

305706732 is an abundant number, since it is smaller than the sum of its proper divisors (450709908).

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

305706732 is a wasteful number, since it uses less digits than its factorization.

305706732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9950 (or 9948 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 33.

The square root of 305706732 is about 17484.4711672959. The cubic root of 305706732 is about 673.6510651769.

The spelling of 305706732 in words is "three hundred five million, seven hundred six thousand, seven hundred thirty-two".