306706320 has 240 divisors, whose sum is σ = 1097094960. Its totient is φ = 76640256.

The previous prime is 306706319. The next prime is 306706339. The reversal of 306706320 is 23607603.

It can be written as a sum of positive squares in 8 ways, for example, as 19607184 + 287099136 = 4428^2 + 16944^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772362 + ... + 772758.

It is an arithmetic number, because the mean of its divisors is an integer number (4571229).

Almost surely, 2^306706320 is an apocalyptic number.

306706320 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 306706320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548547480).

306706320 is an abundant number, since it is smaller than the sum of its proper divisors (790388640).

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

306706320 is a wasteful number, since it uses less digits than its factorization.

306706320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 306706320 is about 17513.0328612722. The cubic root of 306706320 is about 674.3844924099.

The spelling of 306706320 in words is "three hundred six million, seven hundred six thousand, three hundred twenty".