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34401410340 = 223511470311083
BaseRepresentation
bin100000000010011110…
…111101110100100100
310021210111022201021220
4200002132331310210
51030423230112330
623445341340340
72325333106653
oct400236756444
9107714281256
1034401410340
1113653776840
126800b676b0
13332320000b
141944c0d19a
15d65240710
hex8027bdd24

34401410340 has 96 divisors (see below), whose sum is σ = 105112498176. Its totient is φ = 8337210240.

The previous prime is 34401410299. The next prime is 34401410353. The reversal of 34401410340 is 4301410443.

It is a self number, because there is not a number n which added to its sum of digits gives 34401410340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3098439 + ... + 3109521.

It is an arithmetic number, because the mean of its divisors is an integer number (1094921856).

Almost surely, 234401410340 is an apocalyptic number.

34401410340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34401410340 is an abundant number, since it is smaller than the sum of its proper divisors (70711087836).

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

34401410340 is a wasteful number, since it uses less digits than its factorization.

34401410340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15809 (or 15807 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34401410340 its reverse (4301410443), we get a palindrome (38702820783).

The spelling of 34401410340 in words is "thirty-four billion, four hundred one million, four hundred ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 4703 9406 11083 14109 18812 22166 23515 28218 33249 44332 47030 51733 55415 56436 66498 70545 94060 103466 110830 121913 132996 141090 155199 166245 206932 221660 243826 258665 282180 310398 332490 365739 487652 517330 609565 620796 664980 731478 775995 1034660 1219130 1462956 1551990 1828695 2438260 3103980 3657390 7314780 52123349 104246698 156370047 208493396 260616745 312740094 521233490 573356839 625480188 781850235 1042466980 1146713678 1563700470 1720070517 2293427356 2866784195 3127400940 3440141034 5733568390 6880282068 8600352585 11467136780 17200705170 34401410340