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3005483280 = 2435431811609
BaseRepresentation
bin1011001100100100…
…0000100100010000
321202110100100222120
42303021000210100
522123400431110
61214121534240
7134323120632
oct26311004420
97673310876
103005483280
111302576088
126ba644380
1338b884297
14207232a52
15128cc8870
hexb3240910

3005483280 has 160 divisors (see below), whose sum is σ = 9592302720. Its totient is φ = 778014720.

The previous prime is 3005483233. The next prime is 3005483293. The reversal of 3005483280 is 823845003.

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, 1867116 + ... + 1868724.

It is an arithmetic number, because the mean of its divisors is an integer number (59951892).

Almost surely, 23005483280 is an apocalyptic number.

3005483280 is a gapful number since it is divisible by the number (30) 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 3005483280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796151360).

3005483280 is an abundant number, since it is smaller than the sum of its proper divisors (6586819440).

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

3005483280 is a wasteful number, since it uses less digits than its factorization.

3005483280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 3005483280 is about 54822.2881682259. The cubic root of 3005483280 is about 1443.1277308605.

The spelling of 3005483280 in words is "three billion, five million, four hundred eighty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 181 215 240 258 344 362 430 516 543 645 688 724 860 905 1032 1086 1290 1448 1609 1720 1810 2064 2172 2580 2715 2896 3218 3440 3620 4344 4827 5160 5430 6436 7240 7783 8045 8688 9654 10320 10860 12872 14480 15566 16090 19308 21720 23349 24135 25744 31132 32180 38616 38915 43440 46698 48270 62264 64360 69187 77232 77830 93396 96540 116745 124528 128720 138374 155660 186792 193080 207561 233490 276748 291229 311320 345935 373584 386160 415122 466980 553496 582458 622640 691870 830244 873687 933960 1037805 1106992 1164916 1383740 1456145 1660488 1747374 1867920 2075610 2329832 2767480 2912290 3320976 3494748 4151220 4368435 4659664 5534960 5824580 6989496 8302440 8736870 11649160 12522847 13978992 16604880 17473740 23298320 25045694 34947480 37568541 50091388 62614235 69894960 75137082 100182776 125228470 150274164 187842705 200365552 250456940 300548328 375685410 500913880 601096656 751370820 1001827760 1502741640 3005483280