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34031112024 = 233713127122693
BaseRepresentation
bin11111101100011010…
…011000111101011000
310020211200112121111110
4133230122120331120
51024143431041044
623344512500320
72313215452020
oct375432307530
9106750477443
1034031112024
1113483748178
126718b4a6a0
13329458a9a0
14190b97aa80
15d429976b9
hex7ec698f58

34031112024 has 128 divisors (see below), whose sum is σ = 105536471040. Its totient is φ = 8904494592.

The previous prime is 34031111999. The next prime is 34031112061. The reversal of 34031112024 is 42021113043.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 216022 + ... + 338714.

It is an arithmetic number, because the mean of its divisors is an integer number (824503680).

Almost surely, 234031112024 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 34031112024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52768235520).

34031112024 is an abundant number, since it is smaller than the sum of its proper divisors (71505359016).

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

34031112024 is a wasteful number, since it uses less digits than its factorization.

34031112024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122849 (or 122845 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 34031112024 its reverse (42021113043), we get a palindrome (76052225067).

The spelling of 34031112024 in words is "thirty-four billion, thirty-one million, one hundred twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 127 156 168 182 254 273 312 364 381 508 546 728 762 889 1016 1092 1524 1651 1778 2184 2667 3048 3302 3556 4953 5334 6604 7112 9906 10668 11557 13208 19812 21336 23114 34671 39624 46228 69342 92456 122693 138684 245386 277368 368079 490772 736158 858851 981544 1472316 1595009 1717702 2576553 2944632 3190018 3435404 4785027 5153106 6380036 6870808 9570054 10306212 11165063 12760072 15582011 19140108 20612424 22330126 31164022 33495189 38280216 44660252 46746033 62328044 66990378 89320504 93492066 109074077 124656088 133980756 186984132 202566143 218148154 267961512 327222231 373968264 405132286 436296308 607698429 654444462 810264572 872592616 1215396858 1308888924 1417963001 1620529144 2430793716 2617777848 2835926002 4253889003 4861587432 5671852004 8507778006 11343704008 17015556012 34031112024