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34014221334 = 23259197367443
BaseRepresentation
bin11111101011011001…
…111101010000010110
310020210111202110211100
4133223121331100112
51024130120040314
623343110450530
72312622053022
oct375331752026
9106714673740
1034014221334
1113475160a25
126713363a46
133290c258b2
141909621382
15d4125cc09
hex7eb67d416

34014221334 has 96 divisors (see below), whose sum is σ = 75702781440. Its totient is φ = 11034144576.

The previous prime is 34014221303. The next prime is 34014221359. The reversal of 34014221334 is 43312241043.

34014221334 is a `hidden beast` number, since 3 + 401 + 4 + 221 + 3 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34014221298 and 34014221307.

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, 76781317 + ... + 76781759.

It is an arithmetic number, because the mean of its divisors is an integer number (788570640).

Almost surely, 234014221334 is an apocalyptic number.

34014221334 is an abundant number, since it is smaller than the sum of its proper divisors (41688560106).

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

34014221334 is a wasteful number, since it uses less digits than its factorization.

34014221334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34014221334 its reverse (43312241043), we get a palindrome (77326462377).

The spelling of 34014221334 in words is "thirty-four billion, fourteen million, two hundred twenty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 59 118 177 197 354 367 394 443 531 591 734 886 1062 1101 1182 1329 1773 2202 2658 3303 3546 3987 6606 7974 11623 21653 23246 26137 34869 43306 52274 64959 69738 72299 78411 87271 104607 129918 144598 156822 162581 174542 194877 209214 216897 235233 261813 325162 389754 433794 470466 487743 523626 650691 785439 975486 1301382 1463229 1570878 2926458 4265641 5148989 8531282 9592279 10297978 12796923 15446967 19184558 25593846 28776837 30893934 32028457 38390769 46340901 57553674 64056914 76781538 86330511 92681802 96085371 172661022 192170742 288256113 576512226 1889678963 3779357926 5669036889 11338073778 17007110667 34014221334