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14342976 = 263237673
BaseRepresentation
bin110110101101…
…101101000000
3222222200212100
4312231231000
512132433401
61231230400
7232625154
oct66555500
928880770
1014342976
1181070aa
124978400
132c8258b
141c95064
1513d4b86
hexdadb40

14342976 has 84 divisors (see below), whose sum is σ = 42285412. Its totient is φ = 4644864.

The previous prime is 14342963. The next prime is 14343031. The reversal of 14342976 is 67924341.

14342976 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 5198400 = 3024^2 + 2280^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 14342976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20976 + ... + 21648.

Almost surely, 214342976 is an apocalyptic number.

14342976 is a gapful number since it is divisible by the number (16) 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 14342976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21142706).

14342976 is an abundant number, since it is smaller than the sum of its proper divisors (27942436).

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

14342976 is a wasteful number, since it uses less digits than its factorization.

14342976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 715 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 14342976 is about 3787.2121672808. The cubic root of 14342976 is about 242.9665147174.

Adding to 14342976 its product of digits (36288), we get a square (14379264 = 37922).

The spelling of 14342976 in words is "fourteen million, three hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 673 888 1184 1332 1346 1776 2019 2368 2664 2692 3552 4038 5328 5384 6057 7104 8076 10656 10768 12114 16152 21312 21536 24228 24901 32304 43072 48456 49802 64608 74703 96912 99604 129216 149406 193824 199208 224109 298812 387648 398416 448218 597624 796832 896436 1195248 1593664 1792872 2390496 3585744 4780992 7171488 14342976