334145600 has 84 divisors (see below), whose sum is σ = 831069204. Its totient is φ = 132218880.

The previous prime is 334145593. The next prime is 334145611. The reversal of 334145600 is 6541433.

It can be written as a sum of positive squares in 6 ways, for example, as 56190016 + 277955584 = 7496^2 + 16672^2 .

It is a super-2 number, since 2×334145600² = 223306563998720000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334145600.

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, 154124 + ... + 156276.

It is an arithmetic number, because the mean of its divisors is an integer number (9893681).

Almost surely, 2^334145600 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 334145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415534602).

334145600 is an abundant number, since it is smaller than the sum of its proper divisors (496923604).

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

334145600 is a wasteful number, since it uses less digits than its factorization.

334145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 334145600 is about 18279.6498872380. The cubic root of 334145600 is about 693.9240117561.

The spelling of 334145600 in words is "three hundred thirty-four million, one hundred forty-five thousand, six hundred".