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14370384 = 2437192251
BaseRepresentation
bin110110110100…
…011001010000
31000001002110110
4312310121100
512134323014
61232001320
7233101110
oct66643120
930032413
1014370384
118125756
124990240
132c91bb2
141ca1040
1513dcd59
hexdb4650

14370384 has 80 divisors (see below), whose sum is σ = 44679680. Its totient is φ = 3888000.

The previous prime is 14370383. The next prime is 14370397. The reversal of 14370384 is 48307341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14370383) 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 15 ways as a sum of consecutive naturals, for example, 5259 + ... + 7509.

It is an arithmetic number, because the mean of its divisors is an integer number (558496).

Almost surely, 214370384 is an apocalyptic number.

14370384 is a gapful number since it is divisible by the number (14) 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 14370384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22339840).

14370384 is an abundant number, since it is smaller than the sum of its proper divisors (30309296).

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

14370384 is a wasteful number, since it uses less digits than its factorization.

14370384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 14370384 is about 3790.8289330963. The cubic root of 14370384 is about 243.1211778553.

The spelling of 14370384 in words is "fourteen million, three hundred seventy thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 2251 3192 4502 6384 6753 9004 13506 15757 18008 27012 31514 36016 42769 47271 54024 63028 85538 94542 108048 126056 128307 171076 189084 252112 256614 299383 342152 378168 513228 598766 684304 756336 898149 1026456 1197532 1796298 2052912 2395064 3592596 4790128 7185192 14370384