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34140645 = 32571159167
BaseRepresentation
bin1000001000111…
…1000111100101
32101020112011100
42002033013211
532220000040
63215430313
7563122260
oct202170745
971215140
1034140645
11182a9410
12b525399
1370c4886
144769cd7
152ee5b30
hex208f1e5

34140645 has 96 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 13864320.

The previous prime is 34140643. The next prime is 34140679. The reversal of 34140645 is 54604143.

34140645 is a `hidden beast` number, since 3 + 4 + 14 + 0 + 645 = 666.

It is not a de Polignac number, because 34140645 - 21 = 34140643 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34140643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204352 + ... + 204518.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 234140645 is an apocalyptic number.

34140645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34140645 is an abundant number, since it is smaller than the sum of its proper divisors (41338395).

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

34140645 is a wasteful number, since it uses less digits than its factorization.

34140645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34140645 is about 5842.9996577101. Note that the first 3 decimals coincide. The cubic root of 34140645 is about 324.4072667736.

Adding to 34140645 its reverse (54604143), we get a palindrome (88744788).

The spelling of 34140645 in words is "thirty-four million, one hundred forty thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 59 63 77 99 105 165 167 177 231 295 315 385 413 495 501 531 649 693 835 885 1155 1169 1239 1503 1837 1947 2065 2505 2655 3245 3465 3507 3717 4543 5511 5841 5845 6195 7515 9185 9735 9853 10521 12859 13629 16533 17535 18585 22715 27555 29205 29559 38577 40887 49265 52605 64295 68145 68971 82665 88677 108383 115731 147795 192885 204435 206913 325149 344855 443385 541915 578655 620739 758681 975447 1034565 1625745 2276043 3103695 3793405 4877235 6828129 11380215 34140645