306228120 has 128 divisors (see below), whose sum is σ = 1010016000. Its totient is φ = 73658880.

The previous prime is 306228119. The next prime is 306228133. The reversal of 306228120 is 21822603.

It is a super-2 number, since 2×306228120² = 187551322957468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 182646 + ... + 184314.

It is an arithmetic number, because the mean of its divisors is an integer number (7890750).

Almost surely, 2^306228120 is an apocalyptic number.

306228120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306228120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505008000).

306228120 is an abundant number, since it is smaller than the sum of its proper divisors (703787880).

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

306228120 is a wasteful number, since it uses less digits than its factorization.

306228120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 306228120 is about 17499.3748459766. The cubic root of 306228120 is about 674.0338220868.

The spelling of 306228120 in words is "three hundred six million, two hundred twenty-eight thousand, one hundred twenty".