334134400 has 48 divisors (see below), whose sum is σ = 825424290. Its totient is φ = 133652480.

The previous prime is 334134373. The next prime is 334134401. The reversal of 334134400 is 4431433.

334134400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 189557824 + 144576576 = 13768^2 + 12024^2 .

It is a super-2 number, since 2×334134400² = 223291594526720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334134401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49009 + ... + 55408.

Almost surely, 2^334134400 is an apocalyptic number.

It is an amenable number.

334134400 is an abundant number, since it is smaller than the sum of its proper divisors (491289890).

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

334134400 is a wasteful number, since it uses less digits than its factorization.

334134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104441 (or 104424 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 334134400 is about 18279.3435330703. The cubic root of 334134400 is about 693.9162586132.

Adding to 334134400 its reverse (4431433), we get a palindrome (338565833).

The spelling of 334134400 in words is "three hundred thirty-four million, one hundred thirty-four thousand, four hundred".