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14391384 = 2337175039
BaseRepresentation
bin110110111001…
…100001011000
31000002011021020
4312321201120
512141011014
61232242440
7233216250
oct66714130
930064236
1014391384
11813a507
1249a0420
132c9b617
141ca8960
1513e41a9
hexdb9858

14391384 has 64 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 3869184.

The previous prime is 14391373. The next prime is 14391397. The reversal of 14391384 is 48319341.

14391384 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-3 number, since 3×143913843 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337 + ... + 5375.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 214391384 is an apocalyptic number.

14391384 is a gapful number since it is divisible by the number (14) 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 14391384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

14391384 is an abundant number, since it is smaller than the sum of its proper divisors (29154216).

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

14391384 is a wasteful number, since it uses less digits than its factorization.

14391384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5072 (or 5068 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 14391384 is about 3793.5977646556. The cubic root of 14391384 is about 243.2395476863.

The spelling of 14391384 in words is "fourteen million, three hundred ninety-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 5039 10078 15117 20156 30234 35273 40312 60468 70546 85663 105819 120936 141092 171326 211638 256989 282184 342652 423276 513978 599641 685304 846552 1027956 1199282 1798923 2055912 2398564 3597846 4797128 7195692 14391384