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34232016 = 24371317461
BaseRepresentation
bin1000001010010…
…1011011010000
32101102011111110
42002211123100
532230411031
63221413320
7563652540
oct202453320
971364443
1034232016
1118361025
12b56a240
137127340
144791320
153012c46
hex20a56d0

34232016 has 160 divisors (see below), whose sum is σ = 115492608. Its totient is φ = 8478720.

The previous prime is 34231997. The next prime is 34232057. The reversal of 34232016 is 61023243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 34231983 and 34232001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74026 + ... + 74486.

Almost surely, 234232016 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 34232016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57746304).

34232016 is an abundant number, since it is smaller than the sum of its proper divisors (81260592).

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

34232016 is a wasteful number, since it uses less digits than its factorization.

34232016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 34232016 is about 5850.8132768018. The cubic root of 34232016 is about 324.6964139411.

Adding to 34232016 its reverse (61023243), we get a palindrome (95255259).

The spelling of 34232016 in words is "thirty-four million, two hundred thirty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 34 39 42 48 51 52 56 68 78 84 91 102 104 112 119 136 156 168 182 204 208 221 238 272 273 312 336 357 364 408 442 461 476 546 624 663 714 728 816 884 922 952 1092 1326 1383 1428 1456 1547 1768 1844 1904 2184 2652 2766 2856 3094 3227 3536 3688 4368 4641 5304 5532 5712 5993 6188 6454 7376 7837 9282 9681 10608 11064 11986 12376 12908 15674 17979 18564 19362 22128 23511 23972 24752 25816 31348 35958 37128 38724 41951 47022 47944 51632 54859 62696 71916 74256 77448 83902 94044 95888 101881 109718 125392 125853 143832 154896 164577 167804 188088 203762 219436 251706 287664 305643 329154 335608 376176 407524 438872 503412 611286 658308 671216 713167 815048 877744 1006824 1222572 1316616 1426334 1630096 2013648 2139501 2445144 2633232 2852668 4279002 4890288 5705336 8558004 11410672 17116008 34232016