34308 has 18 divisors (see below), whose sum is σ = 86814. Its totient is φ = 11424.

The previous prime is 34303. The next prime is 34313. The reversal of 34308 is 80343.

It is an interprime number because it is at equal distance from previous prime (34303) and next prime (34313).

It can be written as a sum of positive squares in only one way, i.e., 28224 + 6084 = 168^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (34301) by changing a digit.

34308 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 5 ways as a sum of consecutive naturals, for example, 441 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (4823).

2³⁴³⁰⁸ is an apocalyptic number.

It is an amenable number.

34308 is an abundant number, since it is smaller than the sum of its proper divisors (52506).

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

34308 is a wasteful number, since it uses less digits than its factorization.

34308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34308 is about 185.2241884852. The cubic root of 34308 is about 32.4936476737.

Adding to 34308 its product of nonzero digits (288), we get a square (34596 = 186²).

The spelling of 34308 in words is "thirty-four thousand, three hundred eight".