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112305336 = 233111343761
BaseRepresentation
bin1101011000110…
…10010010111000
321211022200221220
412230122102320
5212222232321
615051032040
72532402543
oct654322270
9254280856
10112305336
1158436730
123173b620
131a361780
1410cb585a
159cd59c6
hex6b1a4b8

112305336 has 128 divisors (see below), whose sum is σ = 337962240. Its totient is φ = 30643200.

The previous prime is 112305311. The next prime is 112305353. The reversal of 112305336 is 633503211.

It is a happy number.

It is a super-2 number, since 2×1123053362 = 25224976988145792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147196 + ... + 147956.

It is an arithmetic number, because the mean of its divisors is an integer number (2640330).

Almost surely, 2112305336 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 112305336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168981120).

112305336 is an abundant number, since it is smaller than the sum of its proper divisors (225656904).

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

112305336 is a wasteful number, since it uses less digits than its factorization.

112305336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 112305336 is about 10597.4211957438. The cubic root of 112305336 is about 482.4660929935.

Adding to 112305336 its reverse (633503211), we get a palindrome (745808547).

The spelling of 112305336 in words is "one hundred twelve million, three hundred five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 43 44 52 66 78 86 88 104 129 132 143 156 172 258 264 286 312 344 429 473 516 559 572 761 858 946 1032 1118 1144 1419 1522 1677 1716 1892 2236 2283 2838 3044 3354 3432 3784 4472 4566 5676 6088 6149 6708 8371 9132 9893 11352 12298 13416 16742 18264 18447 19786 24596 25113 29679 32723 33484 36894 39572 49192 50226 59358 65446 66968 73788 79144 98169 100452 108823 118716 130892 147576 196338 200904 217646 237432 261784 326469 359953 392676 425399 435292 652938 719906 785352 850798 870584 1079859 1276197 1305876 1439812 1701596 2159718 2552394 2611752 2879624 3403192 4319436 4679389 5104788 8638872 9358778 10209576 14038167 18717556 28076334 37435112 56152668 112305336