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34222482 = 2327323241
BaseRepresentation
bin1000001010001…
…1000110010010
32101101200102100
42002203012102
532230104412
63221301230
7563613000
oct202430622
971350370
1034222482
1118354948
12b564816
137122bb8
14478ba70
15300eedc
hex20a3192

34222482 has 96 divisors (see below), whose sum is σ = 90604800. Its totient is φ = 9313920.

The previous prime is 34222429. The next prime is 34222483. The reversal of 34222482 is 28422243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34222483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141882 + ... + 142122.

It is an arithmetic number, because the mean of its divisors is an integer number (943800).

Almost surely, 234222482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34222482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45302400).

34222482 is an abundant number, since it is smaller than the sum of its proper divisors (56382318).

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

34222482 is a wasteful number, since it uses less digits than its factorization.

34222482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 34222482 is about 5849.9984615383. The cubic root of 34222482 is about 324.6662672791. Note that the first 3 decimals are identical.

The spelling of 34222482 in words is "thirty-four million, two hundred twenty-two thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 241 294 322 343 414 441 482 483 686 723 882 966 1029 1127 1446 1449 1687 2058 2169 2254 2898 3087 3374 3381 4338 5061 5543 6174 6762 7889 10122 10143 11086 11809 15183 15778 16629 20286 23618 23667 30366 33258 35427 38801 47334 49887 70854 71001 77602 82663 99774 106281 116403 142002 165326 212562 232806 247989 271607 349209 495978 543214 698418 743967 814821 1487934 1629642 1901249 2444463 3802498 4888926 5703747 11407494 17111241 34222482