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14340040 = 235111323109
BaseRepresentation
bin110110101100…
…111111001000
3222222112211121
4312230333020
512132340130
61231205024
7232613461
oct66547710
928875747
1014340040
118104980
124976774
132c81140
141c93d68
1513d3d7a
hexdacfc8

14340040 has 128 divisors (see below), whose sum is σ = 39916800. Its totient is φ = 4561920.

The previous prime is 14340019. The next prime is 14340043. The reversal of 14340040 is 4004341.

It is a junction number, because it is equal to n+sod(n) for n = 14339996 and 14340023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14340043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131506 + ... + 131614.

It is an arithmetic number, because the mean of its divisors is an integer number (311850).

Almost surely, 214340040 is an apocalyptic number.

14340040 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 14340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19958400).

14340040 is an abundant number, since it is smaller than the sum of its proper divisors (25576760).

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

14340040 is a wasteful number, since it uses less digits than its factorization.

14340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 14340040 is about 3786.8245272259. The cubic root of 14340040 is about 242.9499352114.

Adding to 14340040 its reverse (4004341), we get a palindrome (18344381).

The spelling of 14340040 in words is "fourteen million, three hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 23 26 40 44 46 52 55 65 88 92 104 109 110 115 130 143 184 218 220 230 253 260 286 299 436 440 460 506 520 545 572 598 715 872 920 1012 1090 1144 1196 1199 1265 1417 1430 1495 2024 2180 2392 2398 2507 2530 2834 2860 2990 3289 4360 4796 5014 5060 5668 5720 5980 5995 6578 7085 9592 10028 10120 11336 11960 11990 12535 13156 14170 15587 16445 20056 23980 25070 26312 27577 28340 31174 32591 32890 47960 50140 55154 56680 62348 65182 65780 77935 100280 110308 124696 130364 131560 137885 155870 162955 220616 260728 275770 311740 325910 358501 551540 623480 651820 717002 1103080 1303640 1434004 1792505 2868008 3585010 7170020 14340040