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3320011140 = 22351272391823
BaseRepresentation
bin1100010111100011…
…0101100110000100
322120101012001002120
43011320311212010
523244410324030
61305235205540
7145162425525
oct30570654604
98511161076
103320011140
111454072566
12787a468b0
1340ba9a844
14236d0884c
15146707010
hexc5e35984

3320011140 has 96 divisors (see below), whose sum is σ = 9413591040. Its totient is φ = 874210176.

The previous prime is 3320011133. The next prime is 3320011169. The reversal of 3320011140 is 411100233.

It is a super-2 number, since 2×33200111402 = 22044947939448199200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1820269 + ... + 1822091.

It is an arithmetic number, because the mean of its divisors is an integer number (98058240).

Almost surely, 23320011140 is an apocalyptic number.

3320011140 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 3320011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4706795520).

3320011140 is an abundant number, since it is smaller than the sum of its proper divisors (6093579900).

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

3320011140 is a wasteful number, since it uses less digits than its factorization.

3320011140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3320011140 is about 57619.5378322319. The cubic root of 3320011140 is about 1491.8088537239.

Adding to 3320011140 its reverse (411100233), we get a palindrome (3731111373).

The spelling of 3320011140 in words is "three billion, three hundred twenty million, eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 239 254 381 478 508 635 717 762 956 1195 1270 1434 1524 1823 1905 2390 2540 2868 3585 3646 3810 4780 5469 7170 7292 7620 9115 10938 14340 18230 21876 27345 30353 36460 54690 60706 91059 109380 121412 151765 182118 231521 303530 364236 435697 455295 463042 607060 694563 871394 910590 926084 1157605 1307091 1389126 1742788 1821180 2178485 2315210 2614182 2778252 3472815 4356970 4630420 5228364 6535455 6945630 8713940 13070910 13891260 26141820 55333519 110667038 166000557 221334076 276667595 332001114 553335190 664002228 830002785 1106670380 1660005570 3320011140