345400 has 48 divisors (see below), whose sum is σ = 881640. Its totient is φ = 124800.

The previous prime is 345379. The next prime is 345413. The reversal of 345400 is 4543.

345400 = T₅₆ + T₅₇ + ... + T₁₃₀.

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, 2122 + ... + 2278.

2³⁴⁵⁴⁰⁰ 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 345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440820).

345400 is an abundant number, since it is smaller than the sum of its proper divisors (536240).

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

345400 is a wasteful number, since it uses less digits than its factorization.

345400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 345400 is about 587.7074101966. The cubic root of 345400 is about 70.1628859858.

Adding to 345400 its reverse (4543), we get a palindrome (349943).

The spelling of 345400 in words is "three hundred forty-five thousand, four hundred".