345264 has 20 divisors (see below), whose sum is σ = 892056. Its totient is φ = 115072.

The previous prime is 345263. The next prime is 345271. The reversal of 345264 is 462543.

345264 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (345263) 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 3 ways as a sum of consecutive naturals, for example, 3549 + ... + 3644.

2³⁴⁵²⁶⁴ is an apocalyptic number.

It is an amenable number.

345264 is an abundant number, since it is smaller than the sum of its proper divisors (546792).

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

345264 is a wasteful number, since it uses less digits than its factorization.

345264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7204 (or 7198 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 345264 is about 587.5916949719. The cubic root of 345264 is about 70.1536759827.

The spelling of 345264 in words is "three hundred forty-five thousand, two hundred sixty-four".