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14310968 = 2372341271
BaseRepresentation
bin110110100101…
…111000111000
3222221001221212
4312211320320
512130422333
61230422252
7232432640
oct66457070
928831855
1014310968
118095051
124961988
132c70b39
141c87520
1513ca448
hexda5e38

14310968 has 64 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 5702400.

The previous prime is 14310941. The next prime is 14310979. The reversal of 14310968 is 86901341.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 52673 + ... + 52943.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 214310968 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 14310968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

14310968 is an abundant number, since it is smaller than the sum of its proper divisors (18590152).

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

14310968 is a wasteful number, since it uses less digits than its factorization.

14310968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 14310968 is about 3782.9840073677. The cubic root of 14310968 is about 242.7856442020.

It can be divided in two parts, 143 and 10968, that added together give a palindrome (11111).

The spelling of 14310968 in words is "fourteen million, three hundred ten thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 23 28 41 46 56 82 92 161 164 184 271 287 322 328 542 574 644 943 1084 1148 1288 1886 1897 2168 2296 3772 3794 6233 6601 7544 7588 11111 12466 13202 15176 22222 24932 26404 43631 44444 49864 52808 77777 87262 88888 155554 174524 255553 311108 349048 511106 622216 1022212 1788871 2044424 3577742 7155484 14310968