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14401344 = 263107701
BaseRepresentation
bin110110111011…
…111101000000
31000002122221010
4312323331000
512141320334
61232400520
7233260266
oct66737500
930078833
1014401344
118146a41
1249a6140
132ca3009
141cac436
1513e70e9
hexdbbf40

14401344 has 56 divisors (see below), whose sum is σ = 38514528. Its totient is φ = 4748800.

The previous prime is 14401339. The next prime is 14401379. The reversal of 14401344 is 44310441.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14401344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20194 + ... + 20894.

Almost surely, 214401344 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 14401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19257264).

14401344 is an abundant number, since it is smaller than the sum of its proper divisors (24113184).

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

14401344 is a wasteful number, since it uses less digits than its factorization.

14401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 14401344 is about 3794.9102756192. The cubic root of 14401344 is about 243.2956485500.

Adding to 14401344 its reverse (44310441), we get a palindrome (58711785).

The spelling of 14401344 in words is "fourteen million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 214 321 428 642 701 856 1284 1402 1712 2103 2568 2804 3424 4206 5136 5608 6848 8412 10272 11216 16824 20544 22432 33648 44864 67296 75007 134592 150014 225021 300028 450042 600056 900084 1200112 1800168 2400224 3600336 4800448 7200672 14401344