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14470368 = 2531171193
BaseRepresentation
bin110111001100…
…110011100000
31000020011121120
4313030303200
512201022433
61234052240
7233665443
oct67146340
930204546
1014470368
118193890
124a1a080
132cc8563
141cc965a
15140c7b3
hexdccce0

14470368 has 96 divisors (see below), whose sum is σ = 42239232. Its totient is φ = 4300800.

The previous prime is 14470331. The next prime is 14470373. The reversal of 14470368 is 86307441.

14470368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74880 + ... + 75072.

It is an arithmetic number, because the mean of its divisors is an integer number (439992).

Almost surely, 214470368 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 14470368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21119616).

14470368 is an abundant number, since it is smaller than the sum of its proper divisors (27768864).

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

14470368 is a wasteful number, since it uses less digits than its factorization.

14470368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 14470368 is about 3803.9936908465. The cubic root of 14470368 is about 243.6837253086.

The spelling of 14470368 in words is "fourteen million, four hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 71 88 96 132 142 176 193 213 264 284 352 386 426 528 568 579 772 781 852 1056 1136 1158 1544 1562 1704 2123 2272 2316 2343 3088 3124 3408 4246 4632 4686 6176 6248 6369 6816 8492 9264 9372 12496 12738 13703 16984 18528 18744 24992 25476 27406 33968 37488 41109 50952 54812 67936 74976 82218 101904 109624 150733 164436 203808 219248 301466 328872 438496 452199 602932 657744 904398 1205864 1315488 1808796 2411728 3617592 4823456 7235184 14470368