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1330644484 = 22132232612
BaseRepresentation
bin100111101010000…
…0000011000000100
310102201211202002001
41033110000120010
510211121110414
6340012155044
744655201661
oct11724003004
93381752061
101330644484
11623128994
12311768a84
131828a7400
14c8a1aa68
157bc45074
hex4f500604

1330644484 has 81 divisors (see below), whose sum is σ = 2679850719. Its totient is φ = 577811520.

The previous prime is 1330644481. The next prime is 1330644517. The reversal of 1330644484 is 4844460331.

The square root of 1330644484 is 36478.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 935748100 + 394896384 = 30590^2 + 19872^2 .

It is a super-2 number, since 2×13306444842 = 3541229485599252512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1330644481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21813814 + ... + 21813874.

Almost surely, 21330644484 is an apocalyptic number.

1330644484 is the 36478-th square number.

It is an amenable number.

1330644484 is an abundant number, since it is smaller than the sum of its proper divisors (1349206235).

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

1330644484 is a wasteful number, since it uses less digits than its factorization.

1330644484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The cubic root of 1330644484 is about 1099.9020529868.

The spelling of 1330644484 in words is "one billion, three hundred thirty million, six hundred forty-four thousand, four hundred eighty-four".

Divisors: 1 2 4 13 23 26 46 52 61 92 122 169 244 299 338 529 598 676 793 1058 1196 1403 1586 2116 2806 3172 3721 3887 5612 6877 7442 7774 10309 13754 14884 15548 18239 20618 27508 32269 36478 41236 48373 64538 72956 85583 89401 96746 129076 171166 178802 193492 237107 342332 357604 419497 474214 628849 838994 948428 1112579 1257698 1677988 1968409 2225158 2515396 3936818 4450316 5453461 7873636 10906922 14463527 21813844 25589317 28927054 51178634 57854108 102357268 332661121 665322242 1330644484