306424944 has 200 divisors, whose sum is σ = 1025073280. Its totient is φ = 86920128.

The previous prime is 306424931. The next prime is 306424957. The reversal of 306424944 is 449424603.

306424944 is a `hidden beast` number, since 3 + 0 + 642 + 4 + 9 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (306424931) and next prime (306424957).

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

It is a junction number, because it is equal to n+sod(n) for n = 306424899 and 306424908.

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, 2204427 + ... + 2204565.

Almost surely, 2^306424944 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 306424944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512536640).

306424944 is an abundant number, since it is smaller than the sum of its proper divisors (718648336).

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

306424944 is an frugal number, since it uses more digits than its factorization.

306424944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 306424944 is about 17504.9976863752. The cubic root of 306424944 is about 674.1781998795.

The spelling of 306424944 in words is "three hundred six million, four hundred twenty-four thousand, nine hundred forty-four".