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3420231100 = 225211132310399
BaseRepresentation
bin1100101111011100…
…1001010110111100
322211100202202000221
43023313021112330
524001034343400
61323215231124
7150520325146
oct31367112674
98740682027
103420231100
1114a56a4280
127b55184a4
1342678a4b0
14246355c96
15150401c1a
hexcbdc95bc

3420231100 has 144 divisors (see below), whose sum is σ = 9099417600. Its totient is φ = 1098028800.

The previous prime is 3420231083. The next prime is 3420231151. The reversal of 3420231100 is 11320243.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323701 + ... + 334099.

It is an arithmetic number, because the mean of its divisors is an integer number (63190400).

Almost surely, 23420231100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549708800).

3420231100 is an abundant number, since it is smaller than the sum of its proper divisors (5679186500).

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

3420231100 is a wasteful number, since it uses less digits than its factorization.

3420231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10460 (or 10453 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3420231100 is about 58482.7418987858. The cubic root of 3420231100 is about 1506.6711898690.

Adding to 3420231100 its reverse (11320243), we get a palindrome (3431551343).

The spelling of 3420231100 in words is "three billion, four hundred twenty million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 23 25 26 44 46 50 52 55 65 92 100 110 115 130 143 220 230 253 260 275 286 299 325 460 506 550 572 575 598 650 715 1012 1100 1150 1196 1265 1300 1430 1495 2300 2530 2860 2990 3289 3575 5060 5980 6325 6578 7150 7475 10399 12650 13156 14300 14950 16445 20798 25300 29900 32890 41596 51995 65780 82225 103990 114389 135187 164450 207980 228778 239177 259975 270374 328900 457556 478354 519950 540748 571945 675935 956708 1039900 1143890 1195885 1351870 1487057 2287780 2391770 2630947 2703740 2859725 2974114 3109301 3379675 4783540 5261894 5719450 5948228 5979425 6218602 6759350 7435285 10523788 11438900 11958850 12437204 13154735 13518700 14870570 15546505 23917700 26309470 29741140 31093010 34202311 37176425 52618940 62186020 65773675 68404622 74352850 77732525 131547350 136809244 148705700 155465050 171011555 263094700 310930100 342023110 684046220 855057775 1710115550 3420231100