306166356 has 36 divisors (see below), whose sum is σ = 775797204. Its totient is φ = 101808000.

The previous prime is 306166351. The next prime is 306166373. The reversal of 306166356 is 653661603.

It is a happy number.

306166356 is a `hidden beast` number, since 3 + 0 + 6 + 16 + 635 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 476100 + 305690256 = 690^2 + 17484^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 306166356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306166351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5056 + ... + 25256.

Almost surely, 2^306166356 is an apocalyptic number.

306166356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

306166356 is an abundant number, since it is smaller than the sum of its proper divisors (469630848).

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

306166356 is a wasteful number, since it uses less digits than its factorization.

306166356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20632 (or 20627 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 306166356 is about 17497.6100082268. The cubic root of 306166356 is about 673.9885031220.

The spelling of 306166356 in words is "three hundred six million, one hundred sixty-six thousand, three hundred fifty-six".