345533200 has 30 divisors (see below), whose sum is σ = 830144474. Its totient is φ = 138213120.

The previous prime is 345533197. The next prime is 345533203. The reversal of 345533200 is 2335543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (345533197) and next prime (345533203).

It can be written as a sum of positive squares in 3 ways, for example, as 4613904 + 340919296 = 2148^2 + 18464^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (345533203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 431517 + ... + 432316.

Almost surely, 2^345533200 is an apocalyptic number.

It is an amenable number.

345533200 is an abundant number, since it is smaller than the sum of its proper divisors (484611274).

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

345533200 is a wasteful number, since it uses less digits than its factorization.

345533200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863851 (or 863840 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 25.

The square root of 345533200 is about 18588.5233410295. The cubic root of 345533200 is about 701.7190402797.

Adding to 345533200 its reverse (2335543), we get a palindrome (347868743).

The spelling of 345533200 in words is "three hundred forty-five million, five hundred thirty-three thousand, two hundred".