306306220 has 96 divisors (see below), whose sum is σ = 745758720. Its totient is φ = 104509440.

The previous prime is 306306199. The next prime is 306306233. The reversal of 306306220 is 22603603.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 306306191 and 306306200.

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 31 ways as a sum of consecutive naturals, for example, 530572 + ... + 531148.

It is an arithmetic number, because the mean of its divisors is an integer number (7768320).

Almost surely, 2^306306220 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 306306220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372879360).

306306220 is an abundant number, since it is smaller than the sum of its proper divisors (439452500).

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

306306220 is a wasteful number, since it uses less digits than its factorization.

306306220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 306306220 is about 17501.6062120024. The cubic root of 306306220 is about 674.0911187702.

Adding to 306306220 its reverse (22603603), we get a palindrome (328909823).

The spelling of 306306220 in words is "three hundred six million, three hundred six thousand, two hundred twenty".