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1328860944 = 243353127457
BaseRepresentation
bin100111100110100…
…1100111100010000
310102121111010112000
41033031030330100
510210142022234
6335510034000
744634063105
oct11715147420
93377433460
101328860944
1162211a994
12311048900
13182401668
14c86b4aac
157b9e1899
hex4f34cf10

1328860944 has 160 divisors (see below), whose sum is σ = 3925463040. Its totient is φ = 430230528.

The previous prime is 1328860937. The next prime is 1328860961. The reversal of 1328860944 is 4490688231.

It is a happy number.

1328860944 is a `hidden beast` number, since 1 + 32 + 8 + 8 + 609 + 4 + 4 = 666.

It is a super-2 number, since 2×13288609442 = 3531742816977142272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1328860944.

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, 2907564 + ... + 2908020.

It is an arithmetic number, because the mean of its divisors is an integer number (24534144).

Almost surely, 21328860944 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 1328860944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962731520).

1328860944 is an abundant number, since it is smaller than the sum of its proper divisors (2596602096).

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

1328860944 is a wasteful number, since it uses less digits than its factorization.

1328860944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1328860944 is about 36453.5450127968. The cubic root of 1328860944 is about 1099.4104124188.

The spelling of 1328860944 in words is "one billion, three hundred twenty-eight million, eight hundred sixty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 127 144 159 212 216 254 318 381 424 432 457 477 508 636 762 848 914 954 1016 1143 1272 1371 1431 1524 1828 1908 2032 2286 2544 2742 2862 3048 3429 3656 3816 4113 4572 5484 5724 6096 6731 6858 7312 7632 8226 9144 10968 11448 12339 13462 13716 16452 18288 20193 21936 22896 24221 24678 26924 27432 32904 40386 48442 49356 53848 54864 58039 60579 65808 72663 80772 96884 98712 107696 116078 121158 145326 161544 174117 181737 193768 197424 217989 232156 242316 290652 323088 348234 363474 387536 435978 464312 484632 522351 581304 653967 696468 726948 871956 928624 969264 1044702 1162608 1307934 1392936 1453896 1567053 1743912 2089404 2615868 2785872 2907792 3076067 3134106 3487824 4178808 5231736 6152134 6268212 8357616 9228201 10463472 12304268 12536424 18456402 24608536 25072848 27684603 36912804 49217072 55369206 73825608 83053809 110738412 147651216 166107618 221476824 332215236 442953648 664430472 1328860944