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14144340 = 22357217283
BaseRepresentation
bin110101111101…
…001101010100
3222121121101110
4311331031110
512110104330
61223055020
7231140100
oct65751524
928547343
1014144340
117a90941
1248a1470
132c13042
141c42900
151395db0
hexd7d354

14144340 has 144 divisors (see below), whose sum is σ = 48952512. Its totient is φ = 3032064.

The previous prime is 14144327. The next prime is 14144353. The reversal of 14144340 is 4344141.

It is an interprime number because it is at equal distance from previous prime (14144327) and next prime (14144353).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49839 + ... + 50121.

It is an arithmetic number, because the mean of its divisors is an integer number (339948).

Almost surely, 214144340 is an apocalyptic number.

14144340 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 14144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24476256).

14144340 is an abundant number, since it is smaller than the sum of its proper divisors (34808172).

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

14144340 is a wasteful number, since it uses less digits than its factorization.

14144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 317 counting only the distinct ones).

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

The square root of 14144340 is about 3760.8961697978. The cubic root of 14144340 is about 241.8396816274.

Adding to 14144340 its reverse (4344141), we get a palindrome (18488481).

The spelling of 14144340 in words is "fourteen million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 68 70 84 85 98 102 105 119 140 147 170 196 204 210 238 245 255 283 294 340 357 420 476 490 510 566 588 595 714 735 833 849 980 1020 1132 1190 1415 1428 1470 1666 1698 1785 1981 2380 2499 2830 2940 3332 3396 3570 3962 4165 4245 4811 4998 5660 5943 7140 7924 8330 8490 9622 9905 9996 11886 12495 13867 14433 16660 16980 19244 19810 23772 24055 24990 27734 28866 29715 33677 39620 41601 48110 49980 55468 57732 59430 67354 69335 72165 83202 96220 101031 118860 134708 138670 144330 166404 168385 202062 208005 235739 277340 288660 336770 404124 416010 471478 505155 673540 707217 832020 942956 1010310 1178695 1414434 2020620 2357390 2828868 3536085 4714780 7072170 14144340