304616 has 32 divisors (see below), whose sum is σ = 642600. Its totient is φ = 134400.

The previous prime is 304609. The next prime is 304631. The reversal of 304616 is 616403.

304616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 280900 + 23716 = 530^2 + 154^2 .

It is a nialpdrome in base 13.

It is an unprimeable number.

304616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2966 + ... + 3066.

2³⁰⁴⁶¹⁶ 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 304616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321300).

304616 is an abundant number, since it is smaller than the sum of its proper divisors (337984).

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

304616 is a wasteful number, since it uses less digits than its factorization.

304616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 304616 is about 551.9202840991. The cubic root of 304616 is about 67.2848936536.

The spelling of 304616 in words is "three hundred four thousand, six hundred sixteen".