345952 has 24 divisors (see below), whose sum is σ = 718200. Its totient is φ = 163584.

The previous prime is 345937. The next prime is 345953. The reversal of 345952 is 259543.

345952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 345952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 324 + ... + 892.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

2³⁴⁵⁹⁵² is an apocalyptic number.

345952 is a gapful number since it is divisible by the number (32) 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 345952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359100).

345952 is an abundant number, since it is smaller than the sum of its proper divisors (372248).

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

345952 is a wasteful number, since it uses less digits than its factorization.

345952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 590 counting only the distinct ones).

The product of its digits is 5400, while the sum is 28.

The square root of 345952 is about 588.1768441549. The cubic root of 345952 is about 70.2002429626.

The spelling of 345952 in words is "three hundred forty-five thousand, nine hundred fifty-two".