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14342656 = 29109257
BaseRepresentation
bin110110101101…
…101000000000
3222222200102111
4312231220000
512132431111
61231225104
7232624216
oct66555000
928880374
1014342656
118106939
124978194
132c823a3
141c94cb6
1513d4a21
hexdada00

14342656 has 40 divisors (see below), whose sum is σ = 29032740. Its totient is φ = 7077888.

The previous prime is 14342651. The next prime is 14342681. The reversal of 14342656 is 65624341.

It can be written as a sum of positive squares in 2 ways, for example, as 11833600 + 2509056 = 3440^2 + 1584^2 .

It is a super-2 number, since 2×143426562 = 411423562268672, which contains 22 as substring.

Its product of digits (17280) is a multiple of the sum of its prime factors (384).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (14342651) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55680 + ... + 55936.

Almost surely, 214342656 is an apocalyptic number.

14342656 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 14342656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14516370).

14342656 is an abundant number, since it is smaller than the sum of its proper divisors (14690084).

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

14342656 is an equidigital number, since it uses as much as digits as its factorization.

14342656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 368 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 14342656 is about 3787.1699196102. The cubic root of 14342656 is about 242.9647077966.

Adding to 14342656 its reverse (65624341), we get a palindrome (79966997).

The spelling of 14342656 in words is "fourteen million, three hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 257 436 512 514 872 1028 1744 2056 3488 4112 6976 8224 13952 16448 27904 28013 32896 55808 56026 65792 112052 131584 224104 448208 896416 1792832 3585664 7171328 14342656