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14313024 = 263411251
BaseRepresentation
bin110110100110…
…011001000000
3222221011210000
4312212121000
512131004044
61230440000
7232441635
oct66463100
928834700
1014313024
118096650
124963000
132c71a5b
141c8818c
1513cad69
hexda6640

14313024 has 140 divisors (see below), whose sum is σ = 46469808. Its totient is φ = 4320000.

The previous prime is 14313017. The next prime is 14313049. The reversal of 14313024 is 42031341.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 14312988 and 14313006.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56899 + ... + 57149.

Almost surely, 214313024 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 14313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23234904).

14313024 is an abundant number, since it is smaller than the sum of its proper divisors (32156784).

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

14313024 is a wasteful number, since it uses less digits than its factorization.

14313024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 14313024 is about 3783.2557407609. The cubic root of 14313024 is about 242.7972703288.

Adding to 14313024 its reverse (42031341), we get a palindrome (56344365).

The spelling of 14313024 in words is "fourteen million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 251 264 288 297 324 352 396 432 502 528 576 594 648 704 753 792 864 891 1004 1056 1188 1296 1506 1584 1728 1782 2008 2112 2259 2376 2592 2761 3012 3168 3564 4016 4518 4752 5184 5522 6024 6336 6777 7128 8032 8283 9036 9504 11044 12048 13554 14256 16064 16566 18072 19008 20331 22088 24096 24849 27108 28512 33132 36144 40662 44176 48192 49698 54216 57024 66264 72288 74547 81324 88352 99396 108432 132528 144576 149094 162648 176704 198792 216864 223641 265056 298188 325296 397584 433728 447282 530112 596376 650592 795168 894564 1192752 1301184 1590336 1789128 2385504 3578256 4771008 7156512 14313024