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638103312 = 243371119183
BaseRepresentation
bin100110000010001…
…010111100010000
31122110201000012000
4212002022330100
52301323301222
6143152434000
721545534340
oct4602127420
91573630160
10638103312
112a8213510
12159848900
13a227a032
1460a64d20
153b0479ac
hex2608af10

638103312 has 160 divisors (see below), whose sum is σ = 2283663360. Its totient is φ = 165732480.

The previous prime is 638103307. The next prime is 638103379. The reversal of 638103312 is 213301836.

It is a happy number.

638103312 is a `hidden beast` number, since 638 + 10 + 3 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 23673 + ... + 42855.

It is an arithmetic number, because the mean of its divisors is an integer number (14272896).

Almost surely, 2638103312 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 638103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141831680).

638103312 is an abundant number, since it is smaller than the sum of its proper divisors (1645560048).

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

638103312 is a wasteful number, since it uses less digits than its factorization.

638103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19218 (or 19206 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 638103312 is about 25260.7068784704. The cubic root of 638103312 is about 860.9217231464.

The spelling of 638103312 in words is "six hundred thirty-eight million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5544 8316 11088 16632 19183 33264 38366 57549 76732 115098 134281 153464 172647 211013 230196 268562 306928 345294 402843 422026 460392 517941 537124 633039 690588 805686 844052 920784 1035882 1074248 1208529 1266078 1381176 1477091 1611372 1688104 1899117 2071764 2148496 2417058 2532156 2762352 2954182 3222744 3376208 3625587 3798234 4143528 4431273 4834116 5064312 5697351 5908364 6445488 7251174 7596468 8287056 8862546 9668232 10128624 11394702 11816728 13293819 14502348 15192936 17725092 19336464 22789404 23633456 26587638 29004696 30385872 35450184 39881457 45578808 53175276 58009392 70900368 79762914 91157616 106350552 159525828 212701104 319051656 638103312