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14340144 = 243731367
BaseRepresentation
bin110110101101…
…000000110000
3222222112222110
4312231000300
512132341034
61231205320
7232614000
oct66550060
928875873
1014340144
118104a65
124976840
132c811c0
141c94000
1513d3de9
hexdad030

14340144 has 160 divisors (see below), whose sum is σ = 47219200. Its totient is φ = 3725568.

The previous prime is 14340133. The next prime is 14340167. The reversal of 14340144 is 44104341.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 14340144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213999 + ... + 214065.

It is an arithmetic number, because the mean of its divisors is an integer number (295120).

Almost surely, 214340144 is an apocalyptic number.

14340144 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 14340144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23609600).

14340144 is an abundant number, since it is smaller than the sum of its proper divisors (32879056).

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

14340144 is a wasteful number, since it uses less digits than its factorization.

14340144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 14340144 is about 3786.8382590230. The cubic root of 14340144 is about 242.9505225350.

Adding to 14340144 its reverse (44104341), we get a palindrome (58444485).

The spelling of 14340144 in words is "fourteen million, three hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 67 78 84 91 98 104 112 134 147 156 168 182 196 201 208 268 273 294 312 336 343 364 392 402 469 536 546 588 624 637 686 728 784 804 871 938 1029 1072 1092 1176 1274 1372 1407 1456 1608 1742 1876 1911 2058 2184 2352 2548 2613 2744 2814 3216 3283 3484 3752 3822 4116 4368 4459 5096 5226 5488 5628 6097 6566 6968 7504 7644 8232 8918 9849 10192 10452 11256 12194 13132 13377 13936 15288 16464 17836 18291 19698 20904 22512 22981 24388 26264 26754 30576 35672 36582 39396 41808 42679 45962 48776 52528 53508 68943 71344 73164 78792 85358 91924 97552 107016 128037 137886 146328 157584 170716 183848 214032 256074 275772 292656 298753 341432 367696 512148 551544 597506 682864 896259 1024296 1103088 1195012 1792518 2048592 2390024 3585036 4780048 7170072 14340144