306880224 has 96 divisors (see below), whose sum is σ = 924215040. Its totient is φ = 87340032.

The previous prime is 306880213. The next prime is 306880261. The reversal of 306880224 is 422088603.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 209607 + ... + 211065.

It is an arithmetic number, because the mean of its divisors is an integer number (9627240).

Almost surely, 2^306880224 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 306880224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462107520).

306880224 is an abundant number, since it is smaller than the sum of its proper divisors (617334816).

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

306880224 is a wasteful number, since it uses less digits than its factorization.

306880224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 306880224 is about 17517.9971457927. The cubic root of 306880224 is about 674.5119281080.

The spelling of 306880224 in words is "three hundred six million, eight hundred eighty thousand, two hundred twenty-four".