306716220 has 120 divisors (see below), whose sum is σ = 978793200. Its totient is φ = 80379648.

The previous prime is 306716197. The next prime is 306716257. The reversal of 306716220 is 22617603.

It is a happy number.

306716220 is a `hidden beast` number, since 30 + 6 + 7 + 1 + 622 + 0 = 666.

It is a super-2 number, since 2×306716220² = 188149679222176800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93976 + ... + 97184.

It is an arithmetic number, because the mean of its divisors is an integer number (8156610).

Almost surely, 2^306716220 is an apocalyptic number.

306716220 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 306716220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489396600).

306716220 is an abundant number, since it is smaller than the sum of its proper divisors (672076980).

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

306716220 is a wasteful number, since it uses less digits than its factorization.

306716220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 306716220 is about 17513.3155056374. The cubic root of 306716220 is about 674.3917483571.

It can be divided in two parts, 306716 and 220, that added together give a triangular number (306936 = T₇₈₃).

The spelling of 306716220 in words is "three hundred six million, seven hundred sixteen thousand, two hundred twenty".