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14684384 = 2511133209
BaseRepresentation
bin111000000001…
…000011100000
31000122001012002
4320001003200
512224400014
61242423132
7235546421
oct70010340
930561162
1014684384
11831a660
124b01aa8
133071ab0
141d43648
151450dde
hexe010e0

14684384 has 48 divisors (see below), whose sum is σ = 33974640. Its totient is φ = 6159360.

The previous prime is 14684381. The next prime is 14684389. The reversal of 14684384 is 48348641.

It is a super-2 number, since 2×146843842 = 431262266918912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14684381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2972 + ... + 6180.

It is an arithmetic number, because the mean of its divisors is an integer number (707805).

Almost surely, 214684384 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 14684384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16987320).

14684384 is an abundant number, since it is smaller than the sum of its proper divisors (19290256).

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

14684384 is a wasteful number, since it uses less digits than its factorization.

14684384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243 (or 3235 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 14684384 is about 3832.0208767699. The cubic root of 14684384 is about 244.8792074274.

The spelling of 14684384 in words is "fourteen million, six hundred eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 3209 4576 6418 12836 25672 35299 41717 51344 70598 83434 102688 141196 166868 282392 333736 458887 564784 667472 917774 1129568 1334944 1835548 3671096 7342192 14684384