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14410944 = 2632127197
BaseRepresentation
bin110110111110…
…010011000000
31000010011002200
4312332103000
512142122234
61232513200
7233330262
oct66762300
930104080
1014410944
118153179
1249ab800
132ca74b2
141cb1b32
1513e9d99
hexdbe4c0

14410944 has 84 divisors (see below), whose sum is σ = 41842944. Its totient is φ = 4741632.

The previous prime is 14410937. The next prime is 14410961. The reversal of 14410944 is 44901441.

14410944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144109442 = 415350613942272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73054 + ... + 73250.

Almost surely, 214410944 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 14410944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20921472).

14410944 is an abundant number, since it is smaller than the sum of its proper divisors (27432000).

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

14410944 is a wasteful number, since it uses less digits than its factorization.

14410944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 14410944 is about 3796.1749169394. The cubic root of 14410944 is about 243.3496971961.

The spelling of 14410944 in words is "fourteen million, four hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 144 192 197 254 288 381 394 508 576 591 762 788 1016 1143 1182 1524 1576 1773 2032 2286 2364 3048 3152 3546 4064 4572 4728 6096 6304 7092 8128 9144 9456 12192 12608 14184 18288 18912 24384 25019 28368 36576 37824 50038 56736 73152 75057 100076 113472 150114 200152 225171 300228 400304 450342 600456 800608 900684 1200912 1601216 1801368 2401824 3602736 4803648 7205472 14410944