306302868 has 72 divisors (see below), whose sum is σ = 817846848. Its totient is φ = 96463488.

The previous prime is 306302851. The next prime is 306302869. The reversal of 306302868 is 868203603.

It is a super-5 number, since 5×306302868⁵ (a number of 44 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306302869) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 66496 + ... + 70952.

It is an arithmetic number, because the mean of its divisors is an integer number (11358984).

Almost surely, 2^306302868 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 306302868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408923424).

306302868 is an abundant number, since it is smaller than the sum of its proper divisors (511543980).

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

306302868 is a wasteful number, since it uses less digits than its factorization.

306302868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 306302868 is about 17501.5104491012. The cubic root of 306302868 is about 674.0886598347.

The spelling of 306302868 in words is "three hundred six million, three hundred two thousand, eight hundred sixty-eight".