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14274304 = 281137137
BaseRepresentation
bin110110011100…
…111100000000
3222212012122221
4312130330000
512123234204
61225540424
7232221022
oct66347400
928765587
1014274304
11806a550
124944714
132c5a245
141c78012
1513be654
hexd9cf00

14274304 has 72 divisors (see below), whose sum is σ = 32156208. Its totient is φ = 6266880.

The previous prime is 14274287. The next prime is 14274311. The reversal of 14274304 is 40347241.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 104124 + ... + 104260.

It is an arithmetic number, because the mean of its divisors is an integer number (446614).

Almost surely, 214274304 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 14274304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16078104).

14274304 is an abundant number, since it is smaller than the sum of its proper divisors (17881904).

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

14274304 is a wasteful number, since it uses less digits than its factorization.

14274304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 14274304 is about 3778.1349896477. The cubic root of 14274304 is about 242.5781319074.

The spelling of 14274304 in words is "fourteen million, two hundred seventy-four thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 137 148 176 256 274 296 352 407 548 592 704 814 1096 1184 1408 1507 1628 2192 2368 2816 3014 3256 4384 4736 5069 6028 6512 8768 9472 10138 12056 13024 17536 20276 24112 26048 35072 40552 48224 52096 55759 81104 96448 104192 111518 162208 192896 223036 324416 385792 446072 648832 892144 1297664 1784288 3568576 7137152 14274304