334112000 has 144 divisors (see below), whose sum is σ = 852323472. Its totient is φ = 130457600.

The previous prime is 334111991. The next prime is 334112027. The reversal of 334112000 is 211433.

It can be written as a sum of positive squares in 8 ways, for example, as 9535744 + 324576256 = 3088^2 + 18016^2 .

It is a super-2 number, since 2×334112000² = 223261657088000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1695902 + ... + 1696098.

It is an arithmetic number, because the mean of its divisors is an integer number (5918913).

Almost surely, 2^334112000 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 334112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426161736).

334112000 is an abundant number, since it is smaller than the sum of its proper divisors (518211472).

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

334112000 is an equidigital number, since it uses as much as digits as its factorization.

334112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 334112000 is about 18278.7308093314. The cubic root of 334112000 is about 693.9007518076.

Adding to 334112000 its reverse (211433), we get a palindrome (334323433).

The spelling of 334112000 in words is "three hundred thirty-four million, one hundred twelve thousand".