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1368641232 = 24337499907
BaseRepresentation
bin101000110010011…
…1100111011010000
310112101100011211000
41101210330323100
510300333004412
6343450422000
745626154450
oct12144747320
93471304730
101368641232
11642620462
12322431900
1318a71c1aa
14cdaabd60
158024d4dc
hex5193ced0

1368641232 has 160 divisors (see below), whose sum is σ = 4503680000. Its totient is φ = 389826432.

The previous prime is 1368641179. The next prime is 1368641279. The reversal of 1368641232 is 2321468631.

1368641232 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 641 + 2 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1508523 + ... + 1509429.

It is an arithmetic number, because the mean of its divisors is an integer number (28148000).

Almost surely, 21368641232 is an apocalyptic number.

1368641232 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 1368641232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251840000).

1368641232 is an abundant number, since it is smaller than the sum of its proper divisors (3135038768).

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

1368641232 is a wasteful number, since it uses less digits than its factorization.

1368641232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1418 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1368641232 is about 36995.1514661043. The cubic root of 1368641232 is about 1110.2732417169.

The spelling of 1368641232 in words is "one billion, three hundred sixty-eight million, six hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 499 504 756 907 998 1008 1497 1512 1814 1996 2721 2994 3024 3493 3628 3992 4491 5442 5988 6349 6986 7256 7984 8163 8982 10479 10884 11976 12698 13473 13972 14512 16326 17964 19047 20958 21768 23952 24489 25396 26946 27944 31437 32652 35928 38094 41916 43536 48978 50792 53892 55888 57141 62874 65304 71856 76188 83832 94311 97956 101584 107784 114282 125748 130608 152376 167664 171423 188622 195912 215568 228564 251496 304752 342846 377244 391824 452593 457128 502992 685692 754488 905186 914256 1357779 1371384 1508976 1810372 2715558 2742768 3168151 3620744 4073337 5431116 6336302 7241488 8146674 9504453 10862232 12220011 12672604 16293348 19008906 21724464 24440022 25345208 28513359 32586696 38017812 48880044 50690416 57026718 65173392 76035624 85540077 97760088 114053436 152071248 171080154 195520176 228106872 342160308 456213744 684320616 1368641232