14281344 has 288 divisors, whose sum is σ = 54419040. Its totient is φ = 3548160.

The previous prime is 14281313. The next prime is 14281349. The reversal of 14281344 is 44318241.

It is a tau number, because it is divible by the number of its divisors (288).

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 (14281349) 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 35 ways as a sum of consecutive naturals, for example, 620917 + ... + 620939.

It is an arithmetic number, because the mean of its divisors is an integer number (188955).

Almost surely, 2^14281344 is an apocalyptic number.

14281344 is a gapful number since it is divisible by the number (14) 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 14281344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27209520).

14281344 is an abundant number, since it is smaller than the sum of its proper divisors (40137696).

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

14281344 is a wasteful number, since it uses less digits than its factorization.

14281344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 46 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 14281344 is about 3779.0665514119. The cubic root of 14281344 is about 242.6180047066.

Adding to 14281344 its reverse (44318241), we get a palindrome (58599585).

It can be divided in two parts, 1428 and 1344, that added together give a palindrome (2772).

The spelling of 14281344 in words is "fourteen million, two hundred eighty-one thousand, three hundred forty-four".