306390016 has 33 divisors (see below), whose sum is σ = 613602579. Its totient is φ = 152914944.

The previous prime is 306390011. The next prime is 306390037. The reversal of 306390016 is 610093603.

The square root of 306390016 is 17504.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×306390016³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (306390011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 559855 + ... + 560401.

Almost surely, 2^306390016 is an apocalyptic number.

306390016 is the 17504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306390016

306390016 is an abundant number, since it is smaller than the sum of its proper divisors (307212563).

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

306390016 is an frugal number, since it uses more digits than its factorization.

306390016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The cubic root of 306390016 is about 674.1525833934.

Multiplying 306390016 by its product of nonzero digits (2916), we get a square (893433286656 = 945216²).

The spelling of 306390016 in words is "three hundred six million, three hundred ninety thousand, sixteen".