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6740393328 = 2432472294349
BaseRepresentation
bin1100100011100001…
…00011110101110000
3122101202020110101100
412101300203311300
5102301020041303
63032502004400
7326014253334
oct62160436560
918352213340
106740393328
11294985a2a9
121381416700
138355aba26
1447d29d7c4
15296b388a3
hex191c23d70

6740393328 has 120 divisors (see below), whose sum is σ = 19353672000. Its totient is φ = 2188887552.

The previous prime is 6740393321. The next prime is 6740393347. The reversal of 6740393328 is 8233930476.

It is a super-2 number, since 2×67403933282 = 90865804432293831168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6740393321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1547698 + ... + 1552046.

It is an arithmetic number, because the mean of its divisors is an integer number (161280600).

Almost surely, 26740393328 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 6740393328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676836000).

6740393328 is an abundant number, since it is smaller than the sum of its proper divisors (12613278672).

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

6740393328 is a wasteful number, since it uses less digits than its factorization.

6740393328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 6740393328 is about 82099.8984652235. The cubic root of 6740393328 is about 1888.9845826327.

The spelling of 6740393328 in words is "six billion, seven hundred forty million, three hundred ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 229 282 376 423 458 564 687 752 846 916 1128 1374 1692 1832 2061 2256 2748 3384 3664 4122 4349 5496 6768 8244 8698 10763 10992 13047 16488 17396 21526 26094 32289 32976 34792 39141 43052 52188 64578 69584 78282 86104 96867 104376 129156 156564 172208 193734 204403 208752 258312 313128 387468 408806 516624 613209 626256 774936 817612 995921 1226418 1549872 1635224 1839627 1991842 2452836 2987763 3270448 3679254 3983684 4905672 5975526 7358508 7967368 8963289 9811344 11951052 14717016 15934736 17926578 23902104 29434032 35853156 46808287 47804208 71706312 93616574 140424861 143412624 187233148 280849722 374466296 421274583 561699444 748932592 842549166 1123398888 1685098332 2246797776 3370196664 6740393328