14334144 has 84 divisors (see below), whose sum is σ = 41754552. Its totient is φ = 4336640.

The previous prime is 14334143. The next prime is 14334157. The reversal of 14334144 is 44143341.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (14334143) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22924 + ... + 23540.

It is an arithmetic number, because the mean of its divisors is an integer number (497078).

Almost surely, 2^14334144 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 14334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20877276).

14334144 is an abundant number, since it is smaller than the sum of its proper divisors (27420408).

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

14334144 is a wasteful number, since it uses less digits than its factorization.

14334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 633 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 14334144 is about 3786.0459585166. The cubic root of 14334144 is about 242.9166338357.

Adding to 14334144 its reverse (44143341), we get a palindrome (58477485).

The spelling of 14334144 in words is "fourteen million, three hundred thirty-four thousand, one hundred forty-four".