306774 has 64 divisors (see below), whose sum is σ = 806400. Its totient is φ = 85536.

The previous prime is 306763. The next prime is 306781. The reversal of 306774 is 477603.

It is a super-2 number, since 2×306774² = 188220574152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 306774.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13327 + ... + 13349.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2³⁰⁶⁷⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200).

306774 is an abundant number, since it is smaller than the sum of its proper divisors (499626).

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

306774 is a wasteful number, since it uses less digits than its factorization.

306774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 306774 is about 553.8718263281. The cubic root of 306774 is about 67.4434093589.

The spelling of 306774 in words is "three hundred six thousand, seven hundred seventy-four".