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3420111660 = 2235721138593
BaseRepresentation
bin1100101111011010…
…1100001100101100
322211100112200012020
43023312230030230
524001022033120
61323212510140
7150516320010
oct31366541454
98740480166
103420111660
1114a5622569
127b547b350
13426748014
14246324540
151503cb640
hexcbdac32c

3420111660 has 96 divisors (see below), whose sum is σ = 10996511232. Its totient is φ = 778014720.

The previous prime is 3420111649. The next prime is 3420111679. The reversal of 3420111660 is 661110243.

It is a self number, because there is not a number n which added to its sum of digits gives 3420111660.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69324 + ... + 107916.

It is an arithmetic number, because the mean of its divisors is an integer number (114546992).

Almost surely, 23420111660 is an apocalyptic number.

3420111660 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 3420111660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5498255616).

3420111660 is an abundant number, since it is smaller than the sum of its proper divisors (7576399572).

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

3420111660 is a wasteful number, since it uses less digits than its factorization.

3420111660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38823 (or 38821 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3420111660 is about 58481.7207339182. The cubic root of 3420111660 is about 1506.6536512002.

The spelling of 3420111660 in words is "three billion, four hundred twenty million, one hundred eleven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 211 420 422 633 844 1055 1266 1477 2110 2532 2954 3165 4220 4431 5908 6330 7385 8862 12660 14770 17724 22155 29540 38593 44310 77186 88620 115779 154372 192965 231558 270151 385930 463116 540302 578895 771860 810453 1080604 1157790 1350755 1620906 2315580 2701510 3241812 4052265 5403020 8104530 8143123 16209060 16286246 24429369 32572492 40715615 48858738 57001861 81431230 97717476 114003722 122146845 162862460 171005583 228007444 244293690 285009305 342011166 488587380 570018610 684022332 855027915 1140037220 1710055830 3420111660