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14438320 = 2451313883
BaseRepresentation
bin110111000100…
…111110110000
31000011112122121
4313010332300
512144011240
61233244024
7233503141
oct67047660
930145577
1014438320
1181717a6
124a03614
132cb6ab0
141cbbac8
15140304a
hexdc4fb0

14438320 has 40 divisors (see below), whose sum is σ = 36153936. Its totient is φ = 5330688.

The previous prime is 14438297. The next prime is 14438329. The reversal of 14438320 is 2383441.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (14438329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5902 + ... + 7981.

Almost surely, 214438320 is an apocalyptic number.

14438320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14438320 is an abundant number, since it is smaller than the sum of its proper divisors (21715616).

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

14438320 is a wasteful number, since it uses less digits than its factorization.

14438320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13909 (or 13903 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 14438320 is about 3799.7789409385. The cubic root of 14438320 is about 243.5036942154.

The spelling of 14438320 in words is "fourteen million, four hundred thirty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 13883 27766 55532 69415 111064 138830 180479 222128 277660 360958 555320 721916 902395 1110640 1443832 1804790 2887664 3609580 7219160 14438320