345233200 has 90 divisors (see below), whose sum is σ = 898308204. Its totient is φ = 127445760.

The previous prime is 345233179. The next prime is 345233209. The reversal of 345233200 is 2332543.

It is not an unprimeable number, because it can be changed into a prime (345233209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 65047 + ... + 70153.

Almost surely, 2^345233200 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 345233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449154102).

345233200 is an abundant number, since it is smaller than the sum of its proper divisors (553075004).

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

345233200 is a wasteful number, since it uses less digits than its factorization.

345233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5151 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 345233200 is about 18580.4520935310. The cubic root of 345233200 is about 701.5158985205.

Adding to 345233200 its reverse (2332543), we get a palindrome (347565743).

The spelling of 345233200 in words is "three hundred forty-five million, two hundred thirty-three thousand, two hundred".