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34085568 = 2631116139
BaseRepresentation
bin1000001000000…
…1101011000000
32101010201121110
42002001223000
532211214233
63214323320
7562502556
oct202015300
971121543
1034085568
1118270aa0
12b4b9540
1370a579a
144753bd6
152ed4663
hex2081ac0

34085568 has 56 divisors (see below), whose sum is σ = 98389440. Its totient is φ = 10328320.

The previous prime is 34085551. The next prime is 34085587. The reversal of 34085568 is 86558043.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 5958 + ... + 10181.

Almost surely, 234085568 is an apocalyptic number.

It is an amenable number.

34085568 is an abundant number, since it is smaller than the sum of its proper divisors (64303872).

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

34085568 is a wasteful number, since it uses less digits than its factorization.

34085568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16165 (or 16155 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 34085568 is about 5838.2846795955. The cubic root of 34085568 is about 324.2327241254.

The spelling of 34085568 in words is "thirty-four million, eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 16139 32278 48417 64556 96834 129112 177529 193668 258224 355058 387336 516448 532587 710116 774672 1032896 1065174 1420232 1549344 2130348 2840464 3098688 4260696 5680928 8521392 11361856 17042784 34085568