334133400 has 96 divisors (see below), whose sum is σ = 1039286160. Its totient is φ = 88803840.

The previous prime is 334133383. The next prime is 334133431. The reversal of 334133400 is 4331433.

It is a super-2 number, since 2×334133400² = 223290257991120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223054 + ... + 224546.

Almost surely, 2^334133400 is an apocalyptic number.

334133400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519643080).

334133400 is an abundant number, since it is smaller than the sum of its proper divisors (705152760).

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

334133400 is a wasteful number, since it uses less digits than its factorization.

334133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 334133400 is about 18279.3161797700. The cubic root of 334133400 is about 693.9155663599.

Adding to 334133400 its reverse (4331433), we get a palindrome (338464833).

The spelling of 334133400 in words is "three hundred thirty-four million, one hundred thirty-three thousand, four hundred".