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112003344 = 243317101151
BaseRepresentation
bin1101010110100…
…00100100010000
321210202100201000
412223100210100
5212133101334
615040342000
72530004235
oct653204420
9253670630
10112003344
115824a852
1231614900
131a28718b
1410c3778c
159c76299
hex6ad0910

112003344 has 160 divisors (see below), whose sum is σ = 346049280. Its totient is φ = 34560000.

The previous prime is 112003337. The next prime is 112003351. The reversal of 112003344 is 443300211.

It is an interprime number because it is at equal distance from previous prime (112003337) and next prime (112003351).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 741669 + ... + 741819.

It is an arithmetic number, because the mean of its divisors is an integer number (2162808).

Almost surely, 2112003344 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 112003344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173024640).

112003344 is an abundant number, since it is smaller than the sum of its proper divisors (234045936).

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

112003344 is a wasteful number, since it uses less digits than its factorization.

112003344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 112003344 is about 10583.1632322288. The cubic root of 112003344 is about 482.0332501181.

Adding to 112003344 its reverse (443300211), we get a palindrome (555303555).

The spelling of 112003344 in words is "one hundred twelve million, three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 101 102 108 136 144 151 153 202 204 216 272 302 303 306 404 408 432 453 459 604 606 612 808 816 906 909 918 1208 1212 1224 1359 1616 1717 1812 1818 1836 2416 2424 2448 2567 2718 2727 3434 3624 3636 3672 4077 4848 5134 5151 5436 5454 6868 7248 7272 7344 7701 8154 10268 10302 10872 10908 13736 14544 15251 15402 15453 16308 20536 20604 21744 21816 23103 27472 30502 30804 30906 32616 41072 41208 43632 45753 46206 46359 61004 61608 61812 65232 69309 82416 91506 92412 92718 122008 123216 123624 137259 138618 183012 184824 185436 244016 247248 259267 274518 277236 366024 369648 370872 411777 518534 549036 554472 732048 741744 777801 823554 1037068 1098072 1108944 1555602 1647108 2074136 2196144 2333403 3111204 3294216 4148272 4666806 6222408 6588432 7000209 9333612 12444816 14000418 18667224 28000836 37334448 56001672 112003344