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14336 = 2117
BaseRepresentation
bin11100000000000
3201122222
43200000
5424321
6150212
756540
oct34000
921588
1014336
11a853
128368
1366aa
145320
1543ab
hex3800

14336 has 24 divisors (see below), whose sum is σ = 32760. Its totient is φ = 6144.

The previous prime is 14327. The next prime is 14341. The reversal of 14336 is 63341.

Adding to 14336 its reverse (63341), we get a palindrome (77677).

Its product of digits (216) is a multiple of the sum of its prime divisors (9).

It is a plaindrome in base 13.

It is a nialpdrome in base 2, base 4, base 11 and base 14.

It is a zygodrome in base 2 and base 13.

It is a congruent number.

It is an unprimeable number.

14336 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2045 + ... + 2051.

It is an arithmetic number, because the mean of its divisors is an integer number (1365).

214336 is an apocalyptic number.

14336 is a gapful number since it is divisible by the number (16) 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 14336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16380).

14336 is an abundant number, since it is smaller than the sum of its proper divisors (18424).

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

14336 is an frugal number, since it uses more digits than its factorization.

14336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29 (or 9 counting only the distinct ones).

The product of its digits is 216, while the sum is 17.

The square root of 14336 is about 119.7330363768. The cubic root of 14336 is about 24.2927117750.

The spelling of 14336 in words is "fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 7168 14336