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3426304860 = 223551164091
BaseRepresentation
bin1100110000111001…
…0100001101011100
322211210012022200000
43030032110031130
524004113223420
61323553334300
7150623052666
oct31416241534
98753168600
103426304860
1114a9072610
127b7567390
13427b05c34
14247097536
15150c01690
hexcc39435c

3426304860 has 144 divisors (see below), whose sum is σ = 11758061952. Its totient is φ = 830606400.

The previous prime is 3426304829. The next prime is 3426304873. The reversal of 3426304860 is 684036243.

It is a happy number.

3426304860 is a `hidden beast` number, since 342 + 6 + 304 + 8 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21415 + ... + 85505.

It is an arithmetic number, because the mean of its divisors is an integer number (81653208).

Almost surely, 23426304860 is an apocalyptic number.

3426304860 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 3426304860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5879030976).

3426304860 is an abundant number, since it is smaller than the sum of its proper divisors (8331757092).

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

3426304860 is a wasteful number, since it uses less digits than its factorization.

3426304860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64126 (or 64112 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3426304860 is about 58534.6466633224. The cubic root of 3426304860 is about 1507.5625280369.

The spelling of 3426304860 in words is "three billion, four hundred twenty-six million, three hundred four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 891 972 990 1188 1215 1485 1620 1782 1980 2430 2673 2970 3564 4455 4860 5346 5940 8910 10692 13365 17820 26730 53460 64091 128182 192273 256364 320455 384546 576819 640910 705001 769092 961365 1153638 1281820 1410002 1730457 1922730 2115003 2307276 2820004 2884095 3460914 3525005 3845460 4230006 5191371 5768190 6345009 6921828 7050010 8460012 8652285 10382742 10575015 11536380 12690018 14100020 15574113 17304570 19035027 20765484 21150030 25380036 25956855 31148226 31725045 34609140 38070054 42300060 51913710 57105081 62296452 63450090 76140108 77870565 95175135 103827420 114210162 126900180 155741130 171315243 190350270 228420324 285525405 311482260 342630486 380700540 571050810 685260972 856576215 1142101620 1713152430 3426304860