34280 has 16 divisors (see below), whose sum is σ = 77220. Its totient is φ = 13696.

The previous prime is 34273. The next prime is 34283. The reversal of 34280 is 8243.

34280 = T₄₁ + T₄₂ + ... + T₆₄.

It can be written as a sum of positive squares in 2 ways, for example, as 33124 + 1156 = 182^2 + 34^2 .

It is an Ulam number.

It is a cake number, because a cake can be divided into 34280 parts by 59 planar cuts.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (34283) 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, 389 + ... + 468.

2³⁴²⁸⁰ is an apocalyptic number.

It is an amenable number.

34280 is an abundant number, since it is smaller than the sum of its proper divisors (42940).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38610).

34280 is a wasteful number, since it uses less digits than its factorization.

34280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 34280 is about 185.1485889765. The cubic root of 34280 is about 32.4848055206.

The spelling of 34280 in words is "thirty-four thousand, two hundred eighty".