345810 has 16 divisors (see below), whose sum is σ = 830016. Its totient is φ = 92208.

The previous prime is 345803. The next prime is 345811. The reversal of 345810 is 18543.

345810 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×345810² = 239169112200, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345810.

It is not an unprimeable number, because it can be changed into a prime (345811) by changing a digit.

345810 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 7 ways as a sum of consecutive naturals, for example, 5734 + ... + 5793.

It is an arithmetic number, because the mean of its divisors is an integer number (51876).

2³⁴⁵⁸¹⁰ is an apocalyptic number.

345810 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

345810 is an abundant number, since it is smaller than the sum of its proper divisors (484206).

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

345810 is a wasteful number, since it uses less digits than its factorization.

345810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11537.

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

The square root of 345810 is about 588.0561197709. The cubic root of 345810 is about 70.1906368142.

The spelling of 345810 in words is "three hundred forty-five thousand, eight hundred ten".