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1324743680 = 21051321531
BaseRepresentation
bin100111011110101…
…1111110000000000
310102022201221200202
41032331133300000
510203113244210
6335241504332
744554064321
oct11675376000
93368657622
101324743680
1161a868597
1230b7a20a8
131815bc600
14c7d22448
157b47b9a5
hex4ef5fc00

1324743680 has 132 divisors (see below), whose sum is σ = 3443332392. Its totient is φ = 488816640.

The previous prime is 1324743643. The next prime is 1324743689. The reversal of 1324743680 is 863474231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324743689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 864515 + ... + 866045.

Almost surely, 21324743680 is an apocalyptic number.

1324743680 is a gapful number since it is divisible by the number (10) 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 1324743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721666196).

1324743680 is an abundant number, since it is smaller than the sum of its proper divisors (2118588712).

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

1324743680 is a wasteful number, since it uses less digits than its factorization.

1324743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 1324743680 is about 36397.0284501359. The cubic root of 1324743680 is about 1098.2737883697.

The spelling of 1324743680 in words is "one billion, three hundred twenty-four million, seven hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 169 208 256 260 320 338 416 512 520 640 676 832 845 1024 1040 1280 1352 1531 1664 1690 2080 2560 2704 3062 3328 3380 4160 5120 5408 6124 6656 6760 7655 8320 10816 12248 13312 13520 15310 16640 19903 21632 24496 27040 30620 33280 39806 43264 48992 54080 61240 66560 79612 86528 97984 99515 108160 122480 159224 173056 195968 199030 216320 244960 258739 318448 391936 398060 432640 489920 517478 636896 783872 796120 865280 979840 1034956 1273792 1293695 1567744 1592240 1959680 2069912 2547584 2587390 3184480 3919360 4139824 5095168 5174780 6368960 7838720 8279648 10190336 10349560 12737920 16559296 20380672 20699120 25475840 33118592 41398240 50951680 66237184 82796480 101903360 132474368 165592960 264948736 331185920 662371840 1324743680