306904 has 24 divisors (see below), whose sum is σ = 625860. Its totient is φ = 141024.

The previous prime is 306899. The next prime is 306913. The reversal of 306904 is 409603.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1239 + ... + 1465.

2³⁰⁶⁹⁰⁴ 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 306904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312930).

306904 is an abundant number, since it is smaller than the sum of its proper divisors (318956).

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

306904 is a wasteful number, since it uses less digits than its factorization.

306904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 306904 is about 553.9891695692. The cubic root of 306904 is about 67.4529347262.

It can be divided in two parts, 30690 and 4, that multiplied together give a triangular number (122760 = T₄₉₅).

The spelling of 306904 in words is "three hundred six thousand, nine hundred four".