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14004384 = 253145879
BaseRepresentation
bin110101011011…
…000010100000
3222100111101220
4311123002200
512041120014
61220055040
7230015052
oct65330240
928314356
1014004384
1179a5779
124834480
132b94424
141c078d2
1513696a9
hexd5b0a0

14004384 has 24 divisors (see below), whose sum is σ = 36761760. Its totient is φ = 4668096.

The previous prime is 14004383. The next prime is 14004391. The reversal of 14004384 is 48340041.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×140043842 = 392245542438912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14004383) 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, 72844 + ... + 73035.

It is an arithmetic number, because the mean of its divisors is an integer number (1531740).

Almost surely, 214004384 is an apocalyptic number.

It is an amenable number.

14004384 is an abundant number, since it is smaller than the sum of its proper divisors (22757376).

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

14004384 is a wasteful number, since it uses less digits than its factorization.

14004384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145892 (or 145884 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 14004384 is about 3742.2431775608. The cubic root of 14004384 is about 241.0393810865.

The spelling of 14004384 in words is "fourteen million, four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 145879 291758 437637 583516 875274 1167032 1750548 2334064 3501096 4668128 7002192 14004384