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14347116 = 22327172197
BaseRepresentation
bin110110101110…
…101101101100
3222222220112200
4312232231230
512133101431
61231301500
7232643220
oct66565554
928886480
1014347116
11810a223
12497a890
132c84424
141c96780
1513d5ee6
hexdaeb6c

14347116 has 108 divisors (see below), whose sum is σ = 44252208. Its totient is φ = 3838464.

The previous prime is 14347093. The next prime is 14347117. The reversal of 14347116 is 61174341.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14347116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14347117) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72730 + ... + 72926.

Almost surely, 214347116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14347116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22126104).

14347116 is an abundant number, since it is smaller than the sum of its proper divisors (29905092).

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

14347116 is a wasteful number, since it uses less digits than its factorization.

14347116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 226 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 14347116 is about 3787.7587040359. The cubic root of 14347116 is about 242.9898893319.

The spelling of 14347116 in words is "fourteen million, three hundred forty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 197 204 238 252 289 306 357 394 476 578 591 612 714 788 867 1071 1156 1182 1379 1428 1734 1773 2023 2142 2364 2601 2758 3349 3468 3546 4046 4137 4284 5202 5516 6069 6698 7092 8092 8274 10047 10404 12138 12411 13396 16548 18207 20094 23443 24276 24822 30141 36414 40188 46886 49644 56933 60282 70329 72828 93772 113866 120564 140658 170799 210987 227732 281316 341598 398531 421974 512397 683196 797062 843948 1024794 1195593 1594124 2049588 2391186 3586779 4782372 7173558 14347116