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14349960 = 2334543103
BaseRepresentation
bin110110101111…
…011010001000
31000000001110000
4312233122020
512133144320
61231323000
7232654422
oct66573210
930001400
1014349960
118111379
124980460
132c85801
141c97812
1513d6c90
hexdaf688

14349960 has 160 divisors (see below), whose sum is σ = 49832640. Its totient is φ = 3701376.

The previous prime is 14349947. The next prime is 14349961. The reversal of 14349960 is 6994341.

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

It is not an unprimeable number, because it can be changed into a prime (14349961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139269 + ... + 139371.

It is an arithmetic number, because the mean of its divisors is an integer number (311454).

Almost surely, 214349960 is an apocalyptic number.

14349960 is a gapful number since it is divisible by the number (10) 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 14349960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24916320).

14349960 is an abundant number, since it is smaller than the sum of its proper divisors (35482680).

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

14349960 is a wasteful number, since it uses less digits than its factorization.

14349960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 14349960 is about 3788.1341053347. The cubic root of 14349960 is about 243.0059440704.

The spelling of 14349960 in words is "fourteen million, three hundred forty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 81 86 90 103 108 120 129 135 162 172 180 206 215 216 258 270 309 324 344 360 387 405 412 430 515 516 540 618 645 648 774 810 824 860 927 1030 1032 1080 1161 1236 1290 1545 1548 1620 1720 1854 1935 2060 2322 2472 2580 2781 3090 3096 3240 3483 3708 3870 4120 4429 4635 4644 5160 5562 5805 6180 6966 7416 7740 8343 8858 9270 9288 11124 11610 12360 13287 13905 13932 15480 16686 17415 17716 18540 22145 22248 23220 26574 27810 27864 33372 34830 35432 37080 39861 41715 44290 46440 53148 55620 66435 66744 69660 79722 83430 88580 106296 111240 119583 132870 139320 159444 166860 177160 199305 239166 265740 318888 333720 358749 398610 478332 531480 597915 717498 797220 956664 1195830 1434996 1594440 1793745 2391660 2869992 3587490 4783320 7174980 14349960