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34041310830 = 23355910691999
BaseRepresentation
bin11111101101000001…
…010010111001101110
310020212101201202122000
4133231001102321232
51024204033421310
623345515233130
72313401240112
oct375501227156
9106771652560
1034041310830
111348948373a
1267204487a6
13329671bb97
14190d073742
15d4380e4c0
hex7ed052e6e

34041310830 has 128 divisors (see below), whose sum is σ = 92448000000. Its totient is φ = 8911016064.

The previous prime is 34041310819. The next prime is 34041310837. The reversal of 34041310830 is 3801314043.

34041310830 is a `hidden beast` number, since 340 + 4 + 1 + 310 + 8 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34041310794 and 34041310803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34041310837) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17028171 + ... + 17030169.

It is an arithmetic number, because the mean of its divisors is an integer number (722250000).

Almost surely, 234041310830 is an apocalyptic number.

34041310830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34041310830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46224000000).

34041310830 is an abundant number, since it is smaller than the sum of its proper divisors (58406689170).

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

34041310830 is a wasteful number, since it uses less digits than its factorization.

34041310830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 34041310830 its reverse (3801314043), we get a palindrome (37842624873).

The spelling of 34041310830 in words is "thirty-four billion, forty-one million, three hundred ten thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 177 270 295 354 531 590 885 1062 1069 1593 1770 1999 2138 2655 3186 3207 3998 5310 5345 5997 6414 7965 9621 9995 10690 11994 15930 16035 17991 19242 19990 28863 29985 32070 35982 48105 53973 57726 59970 63071 89955 96210 107946 117941 126142 144315 179910 189213 235882 269865 288630 315355 353823 378426 539730 567639 589705 630710 707646 946065 1061469 1135278 1179410 1702917 1769115 1892130 2122938 2136931 2838195 3184407 3405834 3538230 4273862 5307345 5676390 6368814 6410793 8514585 10614690 10684655 12821586 15922035 17029170 19232379 21369310 31844070 32053965 38464758 57697137 64107930 96161895 115394274 126078929 192323790 252157858 288485685 378236787 576971370 630394645 756473574 1134710361 1260789290 1891183935 2269420722 3404131083 3782367870 5673551805 6808262166 11347103610 17020655415 34041310830