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2543936304 = 2437131734259
BaseRepresentation
bin1001011110100001…
…0110001100110000
320120021212100120010
42113220112030300
520202221430204
61100233214520
7120020046630
oct22750261460
96507770503
102543936304
111095a92aa8
125abb61440
13317073870
141a1c0a6c0
15ed508d89
hex97a16330

2543936304 has 160 divisors (see below), whose sum is σ = 8564451840. Its totient is φ = 631443456.

The previous prime is 2543936279. The next prime is 2543936327. The reversal of 2543936304 is 4036393452.

It is a super-2 number, since 2×25439363042 = 12943223837618360832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57127 + ... + 91385.

It is an arithmetic number, because the mean of its divisors is an integer number (53527824).

Almost surely, 22543936304 is an apocalyptic number.

2543936304 is a gapful number since it is divisible by the number (24) 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 2543936304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4282225920).

2543936304 is an abundant number, since it is smaller than the sum of its proper divisors (6020515536).

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

2543936304 is a wasteful number, since it uses less digits than its factorization.

2543936304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34307 (or 34301 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

The square root of 2543936304 is about 50437.4494200490. The cubic root of 2543936304 is about 1365.1134460046.

The spelling of 2543936304 in words is "two billion, five hundred forty-three million, nine hundred thirty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 34 39 42 48 51 52 56 68 78 84 91 102 104 112 119 136 156 168 182 204 208 221 238 272 273 312 336 357 364 408 442 476 546 624 663 714 728 816 884 952 1092 1326 1428 1456 1547 1768 1904 2184 2652 2856 3094 3536 4368 4641 5304 5712 6188 9282 10608 12376 18564 24752 34259 37128 68518 74256 102777 137036 205554 239813 274072 411108 445367 479626 548144 582403 719439 822216 890734 959252 1164806 1336101 1438878 1644432 1747209 1781468 1918504 2329612 2672202 2877756 3117569 3494418 3562936 3837008 4076821 4659224 5344404 5755512 6235138 6988836 7125872 7571239 8153642 9318448 9352707 10688808 11511024 12230463 12470276 13977672 15142478 16307284 18705414 21377616 22713717 24460926 24940552 27955344 30284956 32614568 37410828 45427434 48921852 49881104 52998673 60569912 65229136 74821656 90854868 97843704 105997346 121139824 149643312 158996019 181709736 195687408 211994692 317992038 363419472 423989384 635984076 847978768 1271968152 2543936304