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1329685344 = 253213439809
BaseRepresentation
bin100111101000001…
…0110001101100000
310102200001000101100
41033100112031200
510210344412334
6335535434400
744644065441
oct11720261540
93380030340
101329685344
11622633309
12311385a00
1318262c980
14c884b2c8
157bb05c99
hex4f416360

1329685344 has 144 divisors (see below), whose sum is σ = 4086482400. Its totient is φ = 407697408.

The previous prime is 1329685337. The next prime is 1329685349. The reversal of 1329685344 is 4435869231.

1329685344 is a `hidden beast` number, since 13 + 296 + 8 + 5 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13296853442 = 3536126228096796672, 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 1329685344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329685349) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1643212 + ... + 1644020.

It is an arithmetic number, because the mean of its divisors is an integer number (28378350).

Almost surely, 21329685344 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 1329685344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043241200).

1329685344 is an abundant number, since it is smaller than the sum of its proper divisors (2756797056).

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

1329685344 is a wasteful number, since it uses less digits than its factorization.

1329685344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1266 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 1329685344 is about 36464.8508018338. The cubic root of 1329685344 is about 1099.6377165082.

The spelling of 1329685344 in words is "one billion, three hundred twenty-nine million, six hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 439 468 624 809 878 936 1248 1317 1618 1756 1872 2427 2634 3236 3512 3744 3951 4854 5268 5707 6472 7024 7281 7902 9708 10517 10536 11414 12944 14048 14562 15804 17121 19416 21034 21072 22828 25888 29124 31551 31608 34242 38832 42068 42144 45656 51363 58248 63102 63216 68484 77664 84136 91312 94653 102726 116496 126204 126432 136968 168272 182624 189306 205452 232992 252408 273936 336544 355151 378612 410904 504816 547872 710302 757224 821808 1009632 1065453 1420604 1514448 1643616 2130906 2841208 3028896 3196359 4261812 4616963 5682416 6392718 8523624 9233926 11364832 12785436 13850889 17047248 18467852 25570872 27701778 34094496 36935704 41552667 51141744 55403556 73871408 83105334 102283488 110807112 147742816 166210668 221614224 332421336 443228448 664842672 1329685344