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34000835 = 511718707
BaseRepresentation
bin1000000110110…
…0111111000011
32100222102101012
42001230333003
532201011320
63212431135
7562000541
oct201547703
970872335
1034000835
1118213370
12b4784ab
13707604b
144730d91
152eb94c5
hex206cfc3

34000835 has 16 divisors (see below), whose sum is σ = 45142272. Its totient is φ = 24376800.

The previous prime is 34000819. The next prime is 34000853. The reversal of 34000835 is 53800043.

34000835 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34000835 - 24 = 34000819 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34000835.

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 15 ways as a sum of consecutive naturals, for example, 449 + ... + 8258.

It is an arithmetic number, because the mean of its divisors is an integer number (2821392).

Almost surely, 234000835 is an apocalyptic number.

34000835 is a deficient number, since it is larger than the sum of its proper divisors (11141437).

34000835 is a wasteful number, since it uses less digits than its factorization.

34000835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8794.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 34000835 is about 5831.0234950650. The cubic root of 34000835 is about 323.9638321412.

Adding to 34000835 its reverse (53800043), we get a palindrome (87800878).

It can be divided in two parts, 340008 and 35, that added together give a palindrome (340043).

The spelling of 34000835 in words is "thirty-four million, eight hundred thirty-five", and thus it is an aban number.

Divisors: 1 5 11 55 71 355 781 3905 8707 43535 95777 478885 618197 3090985 6800167 34000835