334224144 has 240 divisors, whose sum is σ = 1039933440. Its totient is φ = 103731840.

The previous prime is 334224127. The next prime is 334224157. The reversal of 334224144 is 441422433.

It is a happy number.

It is a super-2 number, since 2×334224144² = 223411556865065472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5664787 + ... + 5664845.

It is an arithmetic number, because the mean of its divisors is an integer number (4333056).

Almost surely, 2^334224144 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 334224144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519966720).

334224144 is an abundant number, since it is smaller than the sum of its proper divisors (705709296).

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

334224144 is a wasteful number, since it uses less digits than its factorization.

334224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 142 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 334224144 is about 18281.7981610125. The cubic root of 334224144 is about 693.9783785727.

Adding to 334224144 its reverse (441422433), we get a palindrome (775646577).

The spelling of 334224144 in words is "three hundred thirty-four million, two hundred twenty-four thousand, one hundred forty-four".