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112441434 = 237172341167
BaseRepresentation
bin1101011001110…
…11100001011010
321211120121122120
412230323201122
5212241111214
615054002110
72533510410
oct654734132
9254517576
10112441434
1158519a06
12317a6336
131a3ab6c1
1410d0d2b0
159d10ea9
hex6b3b85a

112441434 has 128 divisors (see below), whose sum is σ = 292626432. Its totient is φ = 28047360.

The previous prime is 112441429. The next prime is 112441447. The reversal of 112441434 is 434144211.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 673219 + ... + 673385.

It is an arithmetic number, because the mean of its divisors is an integer number (2286144).

Almost surely, 2112441434 is an apocalyptic number.

112441434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112441434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146313216).

112441434 is an abundant number, since it is smaller than the sum of its proper divisors (180184998).

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

112441434 is a wasteful number, since it uses less digits than its factorization.

112441434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260.

The product of its digits is 1536, while the sum is 24.

The square root of 112441434 is about 10603.8405306757. The cubic root of 112441434 is about 482.6609076120.

Adding to 112441434 its reverse (434144211), we get a palindrome (546585645).

The spelling of 112441434 in words is "one hundred twelve million, four hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 23 34 41 42 46 51 69 82 102 119 123 138 161 167 238 246 287 322 334 357 391 483 501 574 697 714 782 861 943 966 1002 1169 1173 1394 1722 1886 2091 2338 2346 2737 2829 2839 3507 3841 4182 4879 5474 5658 5678 6601 6847 7014 7682 8211 8517 9758 11523 13202 13694 14637 16031 16422 17034 19803 19873 20541 23046 26887 29274 32062 39606 39746 41082 47929 48093 53774 59619 65297 80661 95858 96186 112217 116399 119238 130594 143787 157481 161322 195891 224434 232798 287574 314962 336651 349197 391782 457079 472443 673302 698394 814793 914158 944886 1102367 1371237 1629586 2204734 2444379 2677177 2742474 3307101 4888758 5354354 6614202 8031531 16063062 18740239 37480478 56220717 112441434