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14346912 = 2531759149
BaseRepresentation
bin110110101110…
…101010100000
3222222220021010
4312232222200
512133100122
61231300520
7232642506
oct66565240
928886233
1014346912
11810a058
12497a740
132c842c8
141c96676
1513d5e0c
hexdaeaa0

14346912 has 96 divisors (see below), whose sum is σ = 40824000. Its totient is φ = 4395008.

The previous prime is 14346901. The next prime is 14346923. The reversal of 14346912 is 21964341.

14346912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14346901) and next prime (14346923).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 14346912.

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, 96214 + ... + 96362.

It is an arithmetic number, because the mean of its divisors is an integer number (425250).

Almost surely, 214346912 is an apocalyptic number.

14346912 is a gapful number since it is divisible by the number (12) 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 14346912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20412000).

14346912 is an abundant number, since it is smaller than the sum of its proper divisors (26477088).

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

14346912 is a wasteful number, since it uses less digits than its factorization.

14346912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 14346912 is about 3787.7317750865. The cubic root of 14346912 is about 242.9887376446.

The spelling of 14346912 in words is "fourteen million, three hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 59 68 96 102 118 136 149 177 204 236 272 298 354 408 447 472 544 596 708 816 894 944 1003 1192 1416 1632 1788 1888 2006 2384 2533 2832 3009 3576 4012 4768 5066 5664 6018 7152 7599 8024 8791 10132 12036 14304 15198 16048 17582 20264 24072 26373 30396 32096 35164 40528 48144 52746 60792 70328 81056 96288 105492 121584 140656 149447 210984 243168 281312 298894 421968 448341 597788 843936 896682 1195576 1793364 2391152 3586728 4782304 7173456 14346912