345180 has 48 divisors (see below), whose sum is σ = 1056384. Its totient is φ = 83520.

The previous prime is 345143. The next prime is 345181. The reversal of 345180 is 81543.

345180 = T₂₄₅ + T₂₄₆ + ... + T₂₅₅.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345181) by changing a digit.

345180 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 15 ways as a sum of consecutive naturals, for example, 399 + ... + 921.

It is an arithmetic number, because the mean of its divisors is an integer number (22008).

2³⁴⁵¹⁸⁰ is an apocalyptic number.

345180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528192).

345180 is an abundant number, since it is smaller than the sum of its proper divisors (711204).

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

345180 is a wasteful number, since it uses less digits than its factorization.

345180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 345180 is about 587.5202124183. The cubic root of 345180 is about 70.1479862431.

It can be divided in two parts, 345 and 180, that added together give a palindrome (525).

The spelling of 345180 in words is "three hundred forty-five thousand, one hundred eighty".