14057344 has 64 divisors (see below), whose sum is σ = 33170400. Its totient is φ = 5806080.

The previous prime is 14057327. The next prime is 14057387. The reversal of 14057344 is 44375041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×14057344³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25714 + ... + 26254.

Almost surely, 2^14057344 is an apocalyptic number.

14057344 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 14057344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16585200).

14057344 is an abundant number, since it is smaller than the sum of its proper divisors (19113056).

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

14057344 is an equidigital number, since it uses as much as digits as its factorization.

14057344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 14057344 is about 3749.3124703071. The cubic root of 14057344 is about 241.3428429112.

The spelling of 14057344 in words is "fourteen million, fifty-seven thousand, three hundred forty-four".