345280 has 56 divisors (see below), whose sum is σ = 896112. Its totient is φ = 125952.

The previous prime is 345271. The next prime is 345307. The reversal of 345280 is 82543.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4119 + ... + 4201.

It is an arithmetic number, because the mean of its divisors is an integer number (16002).

2³⁴⁵²⁸⁰ 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 345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448056).

345280 is an abundant number, since it is smaller than the sum of its proper divisors (550832).

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

345280 is a wasteful number, since it uses less digits than its factorization.

345280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 345280 is about 587.6053097105. The cubic root of 345280 is about 70.1547596380.

It can be divided in two parts, 345 and 280, that added together give a 4-th power (625 = 5⁴).

The spelling of 345280 in words is "three hundred forty-five thousand, two hundred eighty".