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14343648 = 2531117247
BaseRepresentation
bin110110101101…
…110111100000
3222222201210020
4312231313200
512132444043
61231233440
7232630134
oct66556740
928881706
1014343648
118107660
124978880
132c82987
141c953c4
1513d4e83
hexdadde0

14343648 has 144 divisors (see below), whose sum is σ = 44561664. Its totient is φ = 4003840.

The previous prime is 14343647. The next prime is 14343673. The reversal of 14343648 is 84634341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14343647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305161 + ... + 305207.

It is an arithmetic number, because the mean of its divisors is an integer number (309456).

Almost surely, 214343648 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 14343648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22280832).

14343648 is an abundant number, since it is smaller than the sum of its proper divisors (30218016).

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

14343648 is a wasteful number, since it uses less digits than its factorization.

14343648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 80 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 14343648 is about 3787.3008858553. The cubic root of 14343648 is about 242.9703091635.

Adding to 14343648 its reverse (84634341), we get a palindrome (98977989).

The spelling of 14343648 in words is "fourteen million, three hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 47 48 51 66 68 88 94 96 102 132 136 141 176 187 188 204 264 272 282 289 352 374 376 408 517 528 544 561 564 578 748 752 799 816 867 1034 1056 1122 1128 1156 1496 1504 1551 1598 1632 1734 2068 2244 2256 2312 2397 2992 3102 3179 3196 3468 4136 4488 4512 4624 4794 5984 6204 6358 6392 6936 8272 8789 8976 9248 9537 9588 12408 12716 12784 13583 13872 16544 17578 17952 19074 19176 24816 25432 25568 26367 27166 27744 35156 38148 38352 40749 49632 50864 52734 54332 70312 76296 76704 81498 101728 105468 108664 140624 149413 152592 162996 210936 217328 281248 298826 305184 325992 421872 434656 448239 597652 651984 843744 896478 1195304 1303968 1792956 2390608 3585912 4781216 7171824 14343648