Search a number
-
+
34065008 = 2417253139
BaseRepresentation
bin1000000111110…
…0101001110000
32101002200101222
42001330221300
532210040013
63214044212
7562355615
oct201745160
971080358
1034065008
11182575aa
12b4a9668
137099313
14474a50c
152ecd508
hex207ca70

34065008 has 60 divisors (see below), whose sum is σ = 71948520. Its totient is φ = 15614976.

The previous prime is 34064999. The next prime is 34065029. The reversal of 34065008 is 80056043.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245003 + ... + 245141.

It is an arithmetic number, because the mean of its divisors is an integer number (1199142).

Almost surely, 234065008 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 34065008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35974260).

34065008 is an abundant number, since it is smaller than the sum of its proper divisors (37883512).

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

34065008 is a wasteful number, since it uses less digits than its factorization.

34065008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 34065008 is about 5836.5236228426. The cubic root of 34065008 is about 324.1675199351.

The spelling of 34065008 in words is "thirty-four million, sixty-five thousand, eight".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 139 212 272 278 289 424 556 578 848 901 1112 1156 1802 2224 2312 2363 3604 4624 4726 7208 7367 9452 14416 14734 15317 18904 29468 30634 37808 40171 58936 61268 80342 117872 122536 125239 160684 245072 250478 321368 500956 642736 1001912 2003824 2129063 4258126 8516252 17032504 34065008