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1112434344 = 233371938723
BaseRepresentation
bin100001001001110…
…0110011010101000
32212112020112001000
41002103212122220
54234240344334
6302215155000
736365351550
oct10223463250
92775215030
101112434344
11520a3842a
12270675a60
13149615598
14a7a58160
15679e0299
hex424e66a8

1112434344 has 128 divisors (see below), whose sum is σ = 3717504000. Its totient is φ = 301102272.

The previous prime is 1112434339. The next prime is 1112434373. The reversal of 1112434344 is 4434342111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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, 9367 + ... + 48089.

It is an arithmetic number, because the mean of its divisors is an integer number (29043000).

Almost surely, 21112434344 is an apocalyptic number.

1112434344 is a gapful number since it is divisible by the number (14) 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 1112434344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858752000).

1112434344 is an abundant number, since it is smaller than the sum of its proper divisors (2605069656).

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

1112434344 is a wasteful number, since it uses less digits than its factorization.

1112434344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38764 (or 38754 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1112434344 is about 33353.1759207425. The cubic root of 1112434344 is about 1036.1551647659.

Adding to 1112434344 its reverse (4434342111), we get a palindrome (5546776455).

The spelling of 1112434344 in words is "one billion, one hundred twelve million, four hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 2052 2394 3192 3591 4104 4788 7182 9576 14364 28728 38723 77446 116169 154892 232338 271061 309784 348507 464676 542122 697014 735737 813183 929352 1045521 1084244 1394028 1471474 1626366 2091042 2168488 2207211 2439549 2788056 2942948 3252732 4182084 4414422 4879098 5150159 5885896 6505464 6621633 7318647 8364168 8828844 9758196 10300318 13243266 14637294 15450477 17657688 19516392 19864899 20600636 26486532 29274588 30900954 39729798 41201272 46351431 52973064 58549176 61801908 79459596 92702862 123603816 139054293 158919192 185405724 278108586 370811448 556217172 1112434344