334431144 has 48 divisors (see below), whose sum is σ = 911020500. Its totient is φ = 110828544.

The previous prime is 334431143. The next prime is 334431151. The reversal of 334431144 is 441134433.

334431144 is a `hidden beast` number, since 3 + 344 + 311 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 329422500 + 5008644 = 18150^2 + 2238^2 .

It is a super-2 number, since 2×334431144² = 223688380154297472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (334431143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 969 + ... + 25880.

Almost surely, 2^334431144 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 334431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455510250).

334431144 is an abundant number, since it is smaller than the sum of its proper divisors (576589356).

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

334431144 is a wasteful number, since it uses less digits than its factorization.

334431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27034 (or 27027 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 334431144 is about 18287.4586534051. The cubic root of 334431144 is about 694.1216196482.

Adding to 334431144 its reverse (441134433), we get a palindrome (775565577).

The spelling of 334431144 in words is "three hundred thirty-four million, four hundred thirty-one thousand, one hundred forty-four".