306351306 has 36 divisors (see below), whose sum is σ = 693896658. Its totient is φ = 97674192.

The previous prime is 306351293. The next prime is 306351319. The reversal of 306351306 is 603153603.

306351306 is a `hidden beast` number, since 3 + 0 + 6 + 351 + 306 = 666.

It is an interprime number because it is at equal distance from previous prime (306351293) and next prime (306351319).

It can be written as a sum of positive squares in only one way, i.e., 271953081 + 34398225 = 16491^2 + 5865^2 .

It is a super-2 number, since 2×306351306² = 187702245375811272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 306351306.

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 17 ways as a sum of consecutive naturals, for example, 6565 + ... + 25608.

Almost surely, 2^306351306 is an apocalyptic number.

306351306 is an abundant number, since it is smaller than the sum of its proper divisors (387545352).

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

306351306 is a wasteful number, since it uses less digits than its factorization.

306351306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32227 (or 32201 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 306351306 is about 17502.8942178144. The cubic root of 306351306 is about 674.1241908825.

The spelling of 306351306 in words is "three hundred six million, three hundred fifty-one thousand, three hundred six".