345384 has 80 divisors (see below), whose sum is σ = 1067220. Its totient is φ = 103680.

The previous prime is 345379. The next prime is 345413. The reversal of 345384 is 483543.

It is a happy number.

345384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 272484 + 72900 = 522^2 + 270^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

Its product of digits (5760) is a multiple of the sum of its prime factors (72).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8404 + ... + 8444.

2³⁴⁵³⁸⁴ 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 345384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533610).

345384 is an abundant number, since it is smaller than the sum of its proper divisors (721836).

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

345384 is a wasteful number, since it uses less digits than its factorization.

345384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 59 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 345384 is about 587.6937978233. The cubic root of 345384 is about 70.1618025815.

It can be divided in two parts, 345 and 384, that added together give a 6-th power (729 = 3⁶).

The spelling of 345384 in words is "three hundred forty-five thousand, three hundred eighty-four".