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34023013112 = 23113147443599
BaseRepresentation
bin11111101011111011…
…011111101011111000
310020211010022010212202
4133223323133223320
51024134342404422
623344023125332
72313056561024
oct375373375370
9106733263782
1034023013112
111347a116360
1267162a3848
1332929b352a
14190a86d384
15d41de7b92
hex7ebedfaf8

34023013112 has 128 divisors (see below), whose sum is σ = 73654272000. Its totient is φ = 14590243200.

The previous prime is 34023013091. The next prime is 34023013117. The reversal of 34023013112 is 21131032043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34023013117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56799389 + ... + 56799987.

It is an arithmetic number, because the mean of its divisors is an integer number (575424000).

Almost surely, 234023013112 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 34023013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36827136000).

34023013112 is an abundant number, since it is smaller than the sum of its proper divisors (39631258888).

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

34023013112 is a wasteful number, since it uses less digits than its factorization.

34023013112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 34023013112 its reverse (21131032043), we get a palindrome (55154045155).

The spelling of 34023013112 in words is "thirty-four billion, twenty-three million, thirteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 31 44 47 62 88 94 124 188 248 341 376 443 517 599 682 886 1034 1198 1364 1457 1772 2068 2396 2728 2914 3544 4136 4792 4873 5828 6589 9746 11656 13178 13733 16027 18569 19492 20821 26356 27466 28153 32054 37138 38984 41642 52712 54932 56306 64108 74276 83284 109864 112612 128216 148552 151063 166568 204259 225224 229031 265357 302126 309683 408518 458062 530714 604252 619366 645451 817036 872743 916124 1061428 1208504 1238732 1290902 1634072 1745486 1832248 2122856 2477464 2581804 2918927 3490972 5163608 5837854 6981944 7099961 8226067 9600173 11675708 12471779 14199922 16452134 19200346 23351416 24943558 28399844 32904268 38400692 49887116 56799688 65808536 76801384 90486737 99774232 137189569 180973474 274379138 361946948 386625149 548758276 723893896 773250298 1097516552 1546500596 3093001192 4252876639 8505753278 17011506556 34023013112