345930 has 32 divisors (see below), whose sum is σ = 895104. Its totient is φ = 85056.

The previous prime is 345923. The next prime is 345937. The reversal of 345930 is 39543.

It is an interprime number because it is at equal distance from previous prime (345923) and next prime (345937).

It is a self number, because there is not a number n which added to its sum of digits gives 345930.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345930.

It is not an unprimeable number, because it can be changed into a prime (345937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54 + ... + 833.

It is an arithmetic number, because the mean of its divisors is an integer number (27972).

2³⁴⁵⁹³⁰ is an apocalyptic number.

345930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447552).

345930 is an abundant number, since it is smaller than the sum of its proper divisors (549174).

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

345930 is a wasteful number, since it uses less digits than its factorization.

345930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 345930 is about 588.1581419992. The cubic root of 345930 is about 70.1987548582.

It can be divided in two parts, 345 and 930, that added together give a triangular number (1275 = T₅₀).

The spelling of 345930 in words is "three hundred forty-five thousand, nine hundred thirty".