14344200 has 144 divisors (see below), whose sum is σ = 51962820. Its totient is φ = 3525120.

The previous prime is 14344199. The next prime is 14344223. The reversal of 14344200 is 244341.

It can be written as a sum of positive squares in 6 ways, for example, as 101124 + 14243076 = 318^2 + 3774^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23094 + ... + 23706.

Almost surely, 2^14344200 is an apocalyptic number.

14344200 is a gapful number since it is divisible by the number (10) 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 14344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25981410).

14344200 is an abundant number, since it is smaller than the sum of its proper divisors (37618620).

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

14344200 is a wasteful number, since it uses less digits than its factorization.

14344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 14344200 is about 3787.3737602724. The cubic root of 14344200 is about 242.9734259412.

Adding to 14344200 its reverse (244341), we get a palindrome (14588541).

The spelling of 14344200 in words is "fourteen million, three hundred forty-four thousand, two hundred".