345024 has 42 divisors (see below), whose sum is σ = 990600. Its totient is φ = 114816.

The previous prime is 345019. The next prime is 345041. The reversal of 345024 is 420543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 344988 and 345006.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 277 + ... + 875.

2³⁴⁵⁰²⁴ 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 345024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495300).

345024 is an abundant number, since it is smaller than the sum of its proper divisors (645576).

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

345024 is a wasteful number, since it uses less digits than its factorization.

345024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 345024 is about 587.3874360250. The cubic root of 345024 is about 70.1374171345.

Adding to 345024 its reverse (420543), we get a palindrome (765567).

The spelling of 345024 in words is "three hundred forty-five thousand, twenty-four".