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14434464 = 2531113669
BaseRepresentation
bin110111000100…
…000010100000
31000011100100210
4313010002200
512143400324
61233214120
7233455662
oct67040240
930140323
1014434464
118169910
124a01340
132cb5105
141cba532
151401d29
hexdc40a0

14434464 has 48 divisors (see below), whose sum is σ = 41338080. Its totient is φ = 4373760.

The previous prime is 14434463. The next prime is 14434481. The reversal of 14434464 is 46443441.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14434463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5779 + ... + 7890.

It is an arithmetic number, because the mean of its divisors is an integer number (861210).

Almost surely, 214434464 is an apocalyptic number.

It is an amenable number.

14434464 is an abundant number, since it is smaller than the sum of its proper divisors (26903616).

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

14434464 is a wasteful number, since it uses less digits than its factorization.

14434464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13693 (or 13685 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 14434464 is about 3799.2715091186. The cubic root of 14434464 is about 243.4820150116.

The spelling of 14434464 in words is "fourteen million, four hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 13669 27338 41007 54676 82014 109352 150359 164028 218704 300718 328056 437408 451077 601436 656112 902154 1202872 1312224 1804308 2405744 3608616 4811488 7217232 14434464