345200 has 30 divisors (see below), whose sum is σ = 830304. Its totient is φ = 137920.

The previous prime is 345193. The next prime is 345221. The reversal of 345200 is 2543.

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, 32 + ... + 831.

2³⁴⁵²⁰⁰ 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 345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415152).

345200 is an abundant number, since it is smaller than the sum of its proper divisors (485104).

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

345200 is a wasteful number, since it uses less digits than its factorization.

345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 345200 is about 587.5372328627. The cubic root of 345200 is about 70.1493410268.

Adding to 345200 its reverse (2543), we get a palindrome (347743).

It can be divided in two parts, 345 and 200, that added together give a palindrome (545).

The spelling of 345200 in words is "three hundred forty-five thousand, two hundred".