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34000331112 = 2332113354791
BaseRepresentation
bin11111101010100100…
…111110000101101000
310020202112121210000200
4133222210332011220
51024113041043422
623341453032200
72312363021526
oct375244760550
9106675553020
1034000331112
1113468334000
12670a785660
13328b0a1427
141907847316
15d3ee172ac
hex7ea93e168

34000331112 has 96 divisors (see below), whose sum is σ = 101286020160. Its totient is φ = 10303101600.

The previous prime is 34000331107. The next prime is 34000331149. The reversal of 34000331112 is 21113300043.

34000331112 is a `hidden beast` number, since 340 + 0 + 0 + 3 + 311 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81564 + ... + 273227.

It is an arithmetic number, because the mean of its divisors is an integer number (1055062710).

Almost surely, 234000331112 is an apocalyptic number.

It is an amenable number.

34000331112 is an abundant number, since it is smaller than the sum of its proper divisors (67285689048).

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

34000331112 is a wasteful number, since it uses less digits than its factorization.

34000331112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354836 (or 354807 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 34000331112 its reverse (21113300043), we get a palindrome (55113631155).

The spelling of 34000331112 in words is "thirty-four billion, three hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1331 1452 2178 2662 2904 3993 4356 5324 7986 8712 10648 11979 15972 23958 31944 47916 95832 354791 709582 1064373 1419164 2128746 2838328 3193119 3902701 4257492 6386238 7805402 8514984 11708103 12772476 15610804 23416206 25544952 31221608 35124309 42929711 46832412 70248618 85859422 93664824 128789133 140497236 171718844 257578266 280994472 343437688 386367399 472226821 515156532 772734798 944453642 1030313064 1416680463 1545469596 1888907284 2833360926 3090939192 3777814568 4250041389 5666721852 8500082778 11333443704 17000165556 34000331112