306608416 has 36 divisors (see below), whose sum is σ = 625222962. Its totient is φ = 148004864.

The previous prime is 306608411. The next prime is 306608417. The reversal of 306608416 is 614806603.

It can be written as a sum of positive squares in 3 ways, for example, as 289136016 + 17472400 = 17004^2 + 4180^2 .

It is not an unprimeable number, because it can be changed into a prime (306608411) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 21216 + ... + 32608.

Almost surely, 2^306608416 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 306608416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312611481).

306608416 is an abundant number, since it is smaller than the sum of its proper divisors (318614546).

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

306608416 is a wasteful number, since it uses less digits than its factorization.

306608416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11461 (or 11424 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 306608416 is about 17510.2374626959. The cubic root of 306608416 is about 674.3127278134.

The spelling of 306608416 in words is "three hundred six million, six hundred eight thousand, four hundred sixteen".