305304032 has 48 divisors (see below), whose sum is σ = 664070400. Its totient is φ = 137005440.

The previous prime is 305304007. The next prime is 305304061. The reversal of 305304032 is 230403503.

It is a junction number, because it is equal to n+sod(n) for n = 305303995 and 305304013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22319 + ... + 33297.

It is an arithmetic number, because the mean of its divisors is an integer number (13834800).

Almost surely, 2^305304032 is an apocalyptic number.

305304032 is a gapful number since it is divisible by the number (32) 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 305304032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332035200).

305304032 is an abundant number, since it is smaller than the sum of its proper divisors (358766368).

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

305304032 is a wasteful number, since it uses less digits than its factorization.

305304032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11079 (or 11071 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 305304032 is about 17472.9514392961. The cubic root of 305304032 is about 673.3551405108.

Adding to 305304032 its reverse (230403503), we get a palindrome (535707535).

The spelling of 305304032 in words is "three hundred five million, three hundred four thousand, thirty-two".