306504016 has 240 divisors, whose sum is σ = 828228240. Its totient is φ = 108380160.

The previous prime is 306504007. The next prime is 306504031. The reversal of 306504016 is 610405603.

It can be written as a sum of positive squares in 8 ways, for example, as 33593616 + 272910400 = 5796^2 + 16520^2 .

It is a congruent number.

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, 5024626 + ... + 5024686.

It is an arithmetic number, because the mean of its divisors is an integer number (3450951).

Almost surely, 2^306504016 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 306504016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414114120).

306504016 is an abundant number, since it is smaller than the sum of its proper divisors (521724224).

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

306504016 is a wasteful number, since it uses less digits than its factorization.

306504016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 306504016 is about 17507.2560956879. The cubic root of 306504016 is about 674.2361847519.

Adding to 306504016 its reverse (610405603), we get a palindrome (916909619).

The spelling of 306504016 in words is "three hundred six million, five hundred four thousand, sixteen".