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1324485504 = 27321767631
BaseRepresentation
bin100111011110010…
…0000101110000000
310102022020211112200
41032330200232000
510203032014004
6335232153200
744551640526
oct11674405600
93368224480
101324485504
1161a701621
1230b698800
1318152bc44
14c7c96316
157b42a239
hex4ef20b80

1324485504 has 96 divisors (see below), whose sum is σ = 4035601440. Its totient is φ = 415518720.

The previous prime is 1324485493. The next prime is 1324485511. The reversal of 1324485504 is 4055844231.

It is a happy number.

1324485504 is a `hidden beast` number, since 1 + 32 + 44 + 85 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13244855042 = 3508523700612268032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14232 + ... + 53399.

It is an arithmetic number, because the mean of its divisors is an integer number (42037515).

Almost surely, 21324485504 is an apocalyptic number.

It is an amenable number.

1324485504 is an abundant number, since it is smaller than the sum of its proper divisors (2711115936).

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

1324485504 is a wasteful number, since it uses less digits than its factorization.

1324485504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67668 (or 67653 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 1324485504 is about 36393.4816141572. The cubic root of 1324485504 is about 1098.2024371189.

The spelling of 1324485504 in words is "one billion, three hundred twenty-four million, four hundred eighty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 67631 135262 202893 270524 405786 541048 608679 811572 1082096 1149727 1217358 1623144 2164192 2299454 2434716 3246288 3449181 4328384 4598908 4869432 6492576 6898362 8656768 9197816 9738864 10347543 12985152 13796724 18395632 19477728 20695086 25970304 27593448 36791264 38955456 41390172 55186896 73582528 77910912 82780344 110373792 147165056 165560688 220747584 331121376 441495168 662242752 1324485504