306339840 has 224 divisors, whose sum is σ = 1093073760. Its totient is φ = 81395712.

The previous prime is 306339833. The next prime is 306339853. The reversal of 306339840 is 48933603.

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 = 306339795 and 306339804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1105782 + ... + 1106058.

Almost surely, 2^306339840 is an apocalyptic number.

306339840 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 306339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546536880).

306339840 is an abundant number, since it is smaller than the sum of its proper divisors (786733920).

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

306339840 is an equidigital number, since it uses as much as digits as its factorization.

306339840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 306339840 is about 17502.5666689203. The cubic root of 306339840 is about 674.1157804898.

The spelling of 306339840 in words is "three hundred six million, three hundred thirty-nine thousand, eight hundred forty".