306920224 has 144 divisors (see below), whose sum is σ = 719409600. Its totient is φ = 128314368.

The previous prime is 306920221. The next prime is 306920231. The reversal of 306920224 is 422029603.

It is a junction number, because it is equal to n+sod(n) for n = 306920192 and 306920201.

It is not an unprimeable number, because it can be changed into a prime (306920221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2979757 + ... + 2979859.

It is an arithmetic number, because the mean of its divisors is an integer number (4995900).

Almost surely, 2^306920224 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 306920224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359704800).

306920224 is an abundant number, since it is smaller than the sum of its proper divisors (412489376).

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

306920224 is a wasteful number, since it uses less digits than its factorization.

306920224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 306920224 is about 17519.1387916187. The cubic root of 306920224 is about 674.5412330320.

Adding to 306920224 its reverse (422029603), we get a palindrome (728949827).

The spelling of 306920224 in words is "three hundred six million, nine hundred twenty thousand, two hundred twenty-four".