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34230112 = 2571789101
BaseRepresentation
bin1000001010010…
…0111101100000
32101102001212221
42002210331200
532230330422
63221400424
7563644150
oct202447540
971361787
1034230112
111835a654
12b569114
137126507
144790760
1530123c7
hex20a4f60

34230112 has 96 divisors (see below), whose sum is σ = 83280960. Its totient is φ = 13516800.

The previous prime is 34230109. The next prime is 34230137. The reversal of 34230112 is 21103243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338862 + ... + 338962.

It is an arithmetic number, because the mean of its divisors is an integer number (867510).

Almost surely, 234230112 is an apocalyptic number.

34230112 is a gapful number since it is divisible by the number (32) 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 34230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41640480).

34230112 is an abundant number, since it is smaller than the sum of its proper divisors (49050848).

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

34230112 is a wasteful number, since it uses less digits than its factorization.

34230112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 34230112 is about 5850.6505621170. The cubic root of 34230112 is about 324.6903939097.

Adding to 34230112 its reverse (21103243), we get a palindrome (55333355).

The spelling of 34230112 in words is "thirty-four million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 89 101 112 119 136 178 202 224 238 272 356 404 476 544 623 707 712 808 952 1246 1414 1424 1513 1616 1717 1904 2492 2828 2848 3026 3232 3434 3808 4984 5656 6052 6868 8989 9968 10591 11312 12019 12104 13736 17978 19936 21182 22624 24038 24208 27472 35956 42364 48076 48416 54944 62923 71912 84728 96152 125846 143824 152813 169456 192304 251692 287648 305626 338912 384608 503384 611252 1006768 1069691 1222504 2013536 2139382 2445008 4278764 4890016 8557528 17115056 34230112