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34223112 = 23327116173
BaseRepresentation
bin1000001010001…
…1010000001000
32101101201021200
42002203100020
532230114422
63221304200
7563614560
oct202432010
971351250
1034223112
1118355370
12b565060
137123281
14478bda0
1530102ac
hex20a3408

34223112 has 96 divisors (see below), whose sum is σ = 115577280. Its totient is φ = 8887680.

The previous prime is 34223099. The next prime is 34223153. The reversal of 34223112 is 21132243.

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

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 (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2458 + ... + 8630.

It is an arithmetic number, because the mean of its divisors is an integer number (1203930).

Almost surely, 234223112 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 34223112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57788640).

34223112 is an abundant number, since it is smaller than the sum of its proper divisors (81354168).

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

34223112 is a wasteful number, since it uses less digits than its factorization.

34223112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6203 (or 6196 counting only the distinct ones).

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

The square root of 34223112 is about 5850.0523074585. The cubic root of 34223112 is about 324.6682595221.

Adding to 34223112 its reverse (21132243), we get a palindrome (55355355).

It can be divided in two parts, 342231 and 12, that added together give a palindrome (342243).

The spelling of 34223112 in words is "thirty-four million, two hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 6173 12346 18519 24692 37038 43211 49384 55557 67903 74076 86422 111114 129633 135806 148152 172844 203709 222228 259266 271612 345688 388899 407418 444456 475321 518532 543224 611127 777798 814836 950642 1037064 1222254 1425963 1555596 1629672 1901284 2444508 2851926 3111192 3802568 4277889 4889016 5703852 8555778 11407704 17111556 34223112