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34113421332 = 22321929727061
BaseRepresentation
bin11111110001010100…
…011000000000010100
310021001102102100122100
4133301110120000110
51024331013440312
623401013002100
72315235203604
oct376124300024
9107042370570
1034113421332
11135161563a1
126740623330
1332a8649213
141918884c04
15d49d055dc
hex7f1518014

34113421332 has 108 divisors (see below), whose sum is σ = 91950126996. Its totient is φ = 10661207040.

The previous prime is 34113421271. The next prime is 34113421337. The reversal of 34113421332 is 23312431143.

It is a happy number.

34113421332 is a `hidden beast` number, since 3 + 411 + 3 + 4 + 213 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9148157316 + 24965264016 = 95646^2 + 158004^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34113421296 and 34113421305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34113421337) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1247082 + ... + 1274142.

Almost surely, 234113421332 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 34113421332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45975063498).

34113421332 is an abundant number, since it is smaller than the sum of its proper divisors (57836705664).

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

34113421332 is a wasteful number, since it uses less digits than its factorization.

34113421332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27206 (or 27182 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 34113421332 its reverse (23312431143), we get a palindrome (57425852475).

The spelling of 34113421332 in words is "thirty-four billion, one hundred thirteen million, four hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 97 114 171 194 228 291 342 361 388 582 684 722 873 1083 1164 1444 1746 1843 2166 3249 3492 3686 4332 5529 6498 7372 11058 12996 16587 22116 27061 33174 35017 54122 66348 70034 81183 105051 108244 140068 162366 210102 243549 315153 324732 420204 487098 514159 630306 974196 1028318 1260612 1542477 2056636 2624917 3084954 4627431 5249834 6169908 7874751 9254862 9769021 10499668 15749502 18509724 19538042 23624253 29307063 31499004 39076084 47248506 49873423 58614126 87921189 94497012 99746846 117228252 149620269 175842378 199493692 299240538 351684756 448860807 598481076 897721614 947595037 1795443228 1895190074 2842785111 3790380148 5685570222 8528355333 11371140444 17056710666 34113421332