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14324328 = 23321937283
BaseRepresentation
bin110110101001…
…001001101000
3222221202021200
4312221021220
512131334303
61231004200
7232516614
oct66511150
928852250
1014324328
1180a4097
124969660
132c76c45
141c8c344
1513ce3a3
hexda9268

14324328 has 96 divisors (see below), whose sum is σ = 42088800. Its totient is φ = 4385664.

The previous prime is 14324249. The next prime is 14324329. The reversal of 14324328 is 82342341.

14324328 is a `hidden beast` number, since 14 + 324 + 328 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14324329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50475 + ... + 50757.

It is an arithmetic number, because the mean of its divisors is an integer number (438425).

Almost surely, 214324328 is an apocalyptic number.

14324328 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 14324328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21044400).

14324328 is an abundant number, since it is smaller than the sum of its proper divisors (27764472).

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

14324328 is a wasteful number, since it uses less digits than its factorization.

14324328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 344 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 14324328 is about 3784.7493972521. The cubic root of 14324328 is about 242.8611715265.

Adding to 14324328 its reverse (82342341), we get a palindrome (96666669).

The spelling of 14324328 in words is "fourteen million, three hundred twenty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 37 38 57 72 74 76 111 114 148 152 171 222 228 283 296 333 342 444 456 566 666 684 703 849 888 1132 1332 1368 1406 1698 2109 2264 2547 2664 2812 3396 4218 5094 5377 5624 6327 6792 8436 10188 10471 10754 12654 16131 16872 20376 20942 21508 25308 31413 32262 41884 43016 48393 50616 62826 64524 83768 94239 96786 125652 129048 188478 193572 198949 251304 376956 387144 397898 596847 753912 795796 1193694 1591592 1790541 2387388 3581082 4774776 7162164 14324328