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34220634 = 2371923761
BaseRepresentation
bin1000001010001…
…0101001011010
32101101120212220
42002202221122
532230030014
63221244510
7563604420
oct202425132
971346786
1034220634
1118353518
12b563736
1371220c6
14478b110
15300e6a9
hex20a2a5a

34220634 has 96 divisors (see below), whose sum is σ = 86173056. Its totient is φ = 8864640.

The previous prime is 34220591. The next prime is 34220657. The reversal of 34220634 is 43602243.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560964 + ... + 561024.

It is an arithmetic number, because the mean of its divisors is an integer number (897636).

Almost surely, 234220634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34220634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43086528).

34220634 is an abundant number, since it is smaller than the sum of its proper divisors (51952422).

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

34220634 is a wasteful number, since it uses less digits than its factorization.

34220634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 34220634 is about 5849.8405106464. The cubic root of 34220634 is about 324.6604232255.

Adding to 34220634 its reverse (43602243), we get a palindrome (77822877).

The spelling of 34220634 in words is "thirty-four million, two hundred twenty thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 37 38 42 57 61 74 111 114 122 133 183 222 259 266 361 366 399 427 518 703 722 777 798 854 1083 1159 1281 1406 1554 2109 2166 2257 2318 2527 2562 3477 4218 4514 4921 5054 6771 6954 7581 8113 9842 13357 13542 14763 15162 15799 16226 22021 24339 26714 29526 31598 40071 42883 44042 47397 48678 66063 80142 85766 93499 94794 128649 132126 154147 186998 257298 280497 300181 308294 462441 560994 600362 814777 900543 924882 1629554 1801086 2444331 4888662 5703439 11406878 17110317 34220634