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14334320 = 24571113179
BaseRepresentation
bin110110101011…
…100101110000
3222222020222202
4312223211300
512132144240
61231122332
7232561010
oct66534560
928866882
1014334320
118100650
1249733a8
132c7b660
141c91c40
1513d2315
hexdab970

14334320 has 160 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 4101120.

The previous prime is 14334319. The next prime is 14334343. The reversal of 14334320 is 2343341.

14334320 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14334292 and 14334301.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 79991 + ... + 80169.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 214334320 is an apocalyptic number.

14334320 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 14334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

14334320 is an abundant number, since it is smaller than the sum of its proper divisors (30662800).

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

14334320 is a wasteful number, since it uses less digits than its factorization.

14334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 14334320 is about 3786.0692016919. The cubic root of 14334320 is about 242.9176280388.

Adding to 14334320 its reverse (2343341), we get a palindrome (16677661).

The spelling of 14334320 in words is "fourteen million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 140 143 154 176 179 182 208 220 260 280 286 308 358 364 385 440 455 520 560 572 616 715 716 728 770 880 895 910 1001 1040 1144 1232 1253 1430 1432 1456 1540 1790 1820 1969 2002 2288 2327 2506 2860 2864 3080 3580 3640 3938 4004 4654 5005 5012 5720 6160 6265 7160 7280 7876 8008 9308 9845 10010 10024 11440 11635 12530 13783 14320 15752 16016 16289 18616 19690 20020 20048 23270 25060 25597 27566 31504 32578 37232 39380 40040 46540 50120 51194 55132 65156 68915 78760 80080 81445 93080 100240 102388 110264 127985 130312 137830 157520 162890 179179 186160 204776 220528 255970 260624 275660 325780 358358 409552 511940 551320 651560 716716 895895 1023880 1102640 1303120 1433432 1791790 2047760 2866864 3583580 7167160 14334320