Search a number
-
+
3330330120 = 2333513237203
BaseRepresentation
bin1100011010000000…
…1100111000001000
322121002121022002000
43012200030320020
523310031030440
61310244311000
7145346224155
oct30640147010
98532538060
103330330120
111459980347
1278b3a2460
13410c71650
1423843322c
15147594730
hexc680ce08

3330330120 has 128 divisors (see below), whose sum is σ = 11955081600. Its totient is φ = 819770112.

The previous prime is 3330330119. The next prime is 3330330161. The reversal of 3330330120 is 210330333.

3330330120 is a `hidden beast` number, since 3 + 330 + 330 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×33303301202 = 22182197416358428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3330330093 and 3330330102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104562 + ... + 132641.

It is an arithmetic number, because the mean of its divisors is an integer number (93399075).

Almost surely, 23330330120 is an apocalyptic number.

3330330120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3330330120 is an abundant number, since it is smaller than the sum of its proper divisors (8624751480).

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

3330330120 is a wasteful number, since it uses less digits than its factorization.

3330330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237236 (or 237226 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 3330330120 is about 57709.0124677247. The cubic root of 3330330120 is about 1493.3528269050.

Adding to 3330330120 its reverse (210330333), we get a palindrome (3540660453).

The spelling of 3330330120 in words is "three billion, three hundred thirty million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 237203 474406 711609 948812 1186015 1423218 1897624 2134827 2372030 2846436 3083639 3558045 4269654 4744060 5692872 6167278 6404481 7116090 8539308 9250917 9488120 10674135 12334556 12808962 14232180 15418195 17078616 18501834 21348270 24669112 25617924 27752751 28464360 30836390 32022405 37003668 42696540 46254585 51235848 55505502 61672780 64044810 74007336 83258253 85393080 92509170 111011004 123345560 128089620 138763755 166516506 185018340 222022008 256179240 277527510 333033012 370036680 416291265 555055020 666066024 832582530 1110110040 1665165060 3330330120