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34960086 = 234730829
BaseRepresentation
bin1000010101011…
…1001011010110
32102210011020000
42011113023112
532422210321
63245152130
7603104310
oct205271326
972704200
1034960086
1118809037
12b85b646
137320855
1449007b0
153108826
hex21572d6

34960086 has 40 divisors (see below), whose sum is σ = 89530320. Its totient is φ = 9988272.

The previous prime is 34960063. The next prime is 34960091. The reversal of 34960086 is 68006943.

34960086 is a `hidden beast` number, since 3 + 49 + 600 + 8 + 6 = 666.

34960086 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×349600862 = 2444415226254792, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34960086.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14281 + ... + 16548.

It is an arithmetic number, because the mean of its divisors is an integer number (2238258).

Almost surely, 234960086 is an apocalyptic number.

34960086 is an abundant number, since it is smaller than the sum of its proper divisors (54570234).

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

34960086 is a wasteful number, since it uses less digits than its factorization.

34960086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30850 (or 30841 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 34960086 is about 5912.7054721168. The cubic root of 34960086 is about 326.9822395875.

The spelling of 34960086 in words is "thirty-four million, nine hundred sixty thousand, eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 30829 61658 92487 184974 215803 277461 431606 554922 647409 832383 1294818 1664766 1942227 2497149 3884454 4994298 5826681 11653362 17480043 34960086