306361472 has 64 divisors (see below), whose sum is σ = 670507200. Its totient is φ = 138783744.

The previous prime is 306361469. The next prime is 306361477. The reversal of 306361472 is 274163603.

306361472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (306361477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53198 + ... + 58674.

It is an arithmetic number, because the mean of its divisors is an integer number (10476675).

Almost surely, 2^306361472 is an apocalyptic number.

306361472 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 306361472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335253600).

306361472 is an abundant number, since it is smaller than the sum of its proper divisors (364145728).

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

306361472 is a wasteful number, since it uses less digits than its factorization.

306361472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533 (or 5521 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 306361472 is about 17503.1846245190. The cubic root of 306361472 is about 674.1316475405.

The spelling of 306361472 in words is "three hundred six million, three hundred sixty-one thousand, four hundred seventy-two".