Search a number
-
+
112034352 = 24317251547
BaseRepresentation
bin1101010110110…
…00001000110000
321210210221020110
412223120020300
5212140044402
615041141320
72530163523
oct653301060
9253727213
10112034352
1158271081
123162a840
131a298321
1410c44bba
159c8056c
hex6ad8230

112034352 has 80 divisors (see below), whose sum is σ = 308230272. Its totient is φ = 34944000.

The previous prime is 112034327. The next prime is 112034383. The reversal of 112034352 is 253430211.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 204543 + ... + 205089.

Almost surely, 2112034352 is an apocalyptic number.

112034352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112034352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154115136).

112034352 is an abundant number, since it is smaller than the sum of its proper divisors (196195920).

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

112034352 is a wasteful number, since it uses less digits than its factorization.

112034352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 112034352 is about 10584.6280992768. The cubic root of 112034352 is about 482.0777294683.

Adding to 112034352 its reverse (253430211), we get a palindrome (365464563).

The spelling of 112034352 in words is "one hundred twelve million, thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 251 272 408 502 547 753 816 1004 1094 1506 1641 2008 2188 3012 3282 4016 4267 4376 6024 6564 8534 8752 9299 12048 12801 13128 17068 18598 25602 26256 27897 34136 37196 51204 55794 68272 74392 102408 111588 137297 148784 204816 223176 274594 411891 446352 549188 823782 1098376 1647564 2196752 2334049 3295128 4668098 6590256 7002147 9336196 14004294 18672392 28008588 37344784 56017176 112034352