306628336 has 40 divisors (see below), whose sum is σ = 685219040. Its totient is φ = 130201344.

The previous prime is 306628321. The next prime is 306628351. The reversal of 306628336 is 633826603.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (306628321) and next prime (306628351).

It is a junction number, because it is equal to n+sod(n) for n = 306628295 and 306628304.

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 7 ways as a sum of consecutive naturals, for example, 351 + ... + 24766.

It is an arithmetic number, because the mean of its divisors is an integer number (17130476).

Almost surely, 2^306628336 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 306628336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342609520).

306628336 is an abundant number, since it is smaller than the sum of its proper divisors (378590704).

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

306628336 is a wasteful number, since it uses less digits than its factorization.

306628336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25241 (or 25235 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 37.

The square root of 306628336 is about 17510.8062635619. The cubic root of 306628336 is about 674.3273306074.

The spelling of 306628336 in words is "three hundred six million, six hundred twenty-eight thousand, three hundred thirty-six".