345940 has 36 divisors (see below), whose sum is σ = 847476. Its totient is φ = 118272.

The previous prime is 345937. The next prime is 345953. The reversal of 345940 is 49543.

It can be written as a sum of positive squares in 2 ways, for example, as 132496 + 213444 = 364^2 + 462^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 804 + ... + 1156.

It is an arithmetic number, because the mean of its divisors is an integer number (23541).

2³⁴⁵⁹⁴⁰ 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 345940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423738).

345940 is an abundant number, since it is smaller than the sum of its proper divisors (501536).

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

345940 is a wasteful number, since it uses less digits than its factorization.

345940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 345940 is about 588.1666430528. The cubic root of 345940 is about 70.1994312771.

Adding to 345940 its product of nonzero digits (2160), we get a square (348100 = 590²).

The spelling of 345940 in words is "three hundred forty-five thousand, nine hundred forty".