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18324432 = 24327453
BaseRepresentation
bin100010111100…
…1101111010000
31021110222101200
41011321233100
514142340212
61452431200
7311520000
oct105715720
937428350
1018324432
11a386465
126178500
133a47879
142610000
15191e6dc
hex1179bd0

18324432 has 150 divisors (see below), whose sum is σ = 60955362. Its totient is φ = 5136768.

The previous prime is 18324403. The next prime is 18324443. The reversal of 18324432 is 23442381.

It can be written as a sum of positive squares in only one way, i.e., 16941456 + 1382976 = 4116^2 + 1176^2 .

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 = 18324396 and 18324405.

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 345718 + ... + 345770.

Almost surely, 218324432 is an apocalyptic number.

18324432 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 18324432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30477681).

18324432 is an abundant number, since it is smaller than the sum of its proper divisors (42630930).

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

18324432 is an equidigital number, since it uses as much as digits as its factorization.

18324432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

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

The square root of 18324432 is about 4280.7046148969. The cubic root of 18324432 is about 263.6393146068.

The spelling of 18324432 in words is "eighteen million, three hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 53 56 63 72 84 98 106 112 126 144 147 159 168 196 212 252 294 318 336 343 371 392 424 441 477 504 588 636 686 742 784 848 882 954 1008 1029 1113 1176 1272 1372 1484 1764 1908 2058 2226 2352 2401 2544 2597 2744 2968 3087 3339 3528 3816 4116 4452 4802 5194 5488 5936 6174 6678 7056 7203 7632 7791 8232 8904 9604 10388 12348 13356 14406 15582 16464 17808 18179 19208 20776 21609 23373 24696 26712 28812 31164 36358 38416 41552 43218 46746 49392 53424 54537 57624 62328 72716 86436 93492 109074 115248 124656 127253 145432 163611 172872 186984 218148 254506 290864 327222 345744 373968 381759 436296 509012 654444 763518 872592 1018024 1145277 1308888 1527036 2036048 2290554 2617776 3054072 4581108 6108144 9162216 18324432