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34187112 = 23323741313
BaseRepresentation
bin1000001001101…
…0011101101000
32101022212220100
42002122131220
532222441422
63220425400
7563404611
oct202323550
971285810
1034187112
1118330313
12b548260
13710ca7b
14477cc08
1530047ac
hex209a768

34187112 has 96 divisors (see below), whose sum is σ = 97723080. Its totient is φ = 10782720.

The previous prime is 34187089. The next prime is 34187113. The reversal of 34187112 is 21178143.

It can be written as a sum of positive squares in 4 ways, for example, as 16597476 + 17589636 = 4074^2 + 4194^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34187113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109068 + ... + 109380.

Almost surely, 234187112 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 34187112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48861540).

34187112 is an abundant number, since it is smaller than the sum of its proper divisors (63535968).

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

34187112 is a wasteful number, since it uses less digits than its factorization.

34187112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 396 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 34187112 is about 5846.9746023050. The cubic root of 34187112 is about 324.5543778267.

The spelling of 34187112 in words is "thirty-four million, one hundred eighty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 41 72 74 82 111 123 148 164 222 246 296 313 328 333 369 444 492 626 666 738 888 939 984 1252 1332 1476 1517 1878 2504 2664 2817 2952 3034 3756 4551 5634 6068 7512 9102 11268 11581 12136 12833 13653 18204 22536 23162 25666 27306 34743 36408 38499 46324 51332 54612 69486 76998 92648 102664 104229 109224 115497 138972 153996 208458 230994 277944 307992 416916 461988 474821 833832 923976 949642 1424463 1899284 2848926 3798568 4273389 5697852 8546778 11395704 17093556 34187112