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14124348 = 22337217157
BaseRepresentation
bin110101111000…
…010100111100
3222120120222000
4311320110330
512103434343
61222422300
7231024600
oct65702474
928516860
1014124348
117a77917
124891990
132c06c04
141c39500
15138eed3
hexd7853c

14124348 has 144 divisors (see below), whose sum is σ = 45390240. Its totient is φ = 3773952.

The previous prime is 14124311. The next prime is 14124349. The reversal of 14124348 is 84342141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14124349) 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 47 ways as a sum of consecutive naturals, for example, 89886 + ... + 90042.

It is an arithmetic number, because the mean of its divisors is an integer number (315210).

Almost surely, 214124348 is an apocalyptic number.

14124348 is a gapful number since it is divisible by the number (18) 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 14124348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22695120).

14124348 is an abundant number, since it is smaller than the sum of its proper divisors (31265892).

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

14124348 is a wasteful number, since it uses less digits than its factorization.

14124348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 14124348 is about 3758.2373528025. The cubic root of 14124348 is about 241.7256869456.

Adding to 14124348 its reverse (84342141), we get a palindrome (98466489).

The spelling of 14124348 in words is "fourteen million, one hundred twenty-four thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 49 51 54 63 68 84 98 102 108 119 126 147 153 157 189 196 204 238 252 294 306 314 357 378 441 459 471 476 588 612 628 714 756 833 882 918 942 1071 1099 1323 1413 1428 1666 1764 1836 1884 2142 2198 2499 2646 2669 2826 3213 3297 3332 4239 4284 4396 4998 5292 5338 5652 6426 6594 7497 7693 8007 8478 9891 9996 10676 12852 13188 14994 15386 16014 16956 18683 19782 22491 23079 24021 29673 29988 30772 32028 37366 39564 44982 46158 48042 56049 59346 69237 72063 74732 89964 92316 96084 112098 118692 130781 138474 144126 168147 207711 224196 261562 276948 288252 336294 392343 415422 504441 523124 672588 784686 830844 1008882 1177029 1569372 2017764 2354058 3531087 4708116 7062174 14124348