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14328432 = 2432195237
BaseRepresentation
bin110110101010…
…001001110000
3222221221220200
4312222021300
512132002212
61231035200
7232534566
oct66521160
928857820
1014328432
1180a7188
12496bb00
132c78a81
141c8da36
1513d06dc
hexdaa270

14328432 has 60 divisors (see below), whose sum is σ = 42218280. Its totient is φ = 4523904.

The previous prime is 14328427. The next prime is 14328437. The reversal of 14328432 is 23482341.

It is an interprime number because it is at equal distance from previous prime (14328427) and next prime (14328437).

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

It is a junction number, because it is equal to n+sod(n) for n = 14328396 and 14328405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14328437) 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 11 ways as a sum of consecutive naturals, for example, 118 + ... + 5354.

It is an arithmetic number, because the mean of its divisors is an integer number (703638).

Almost surely, 214328432 is an apocalyptic number.

14328432 is a gapful number since it is divisible by the number (12) 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 14328432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21109140).

14328432 is an abundant number, since it is smaller than the sum of its proper divisors (27889848).

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

14328432 is a wasteful number, since it uses less digits than its factorization.

14328432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 5261 counting only the distinct ones).

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

The square root of 14328432 is about 3785.2915343471. The cubic root of 14328432 is about 242.8843630060.

The spelling of 14328432 in words is "fourteen million, three hundred twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 5237 10474 15711 20948 31422 41896 47133 62844 83792 94266 99503 125688 188532 199006 251376 298509 377064 398012 597018 754128 796024 895527 1194036 1592048 1791054 2388072 3582108 4776144 7164216 14328432