Search a number
-
+
34206666 = 2313597433
BaseRepresentation
bin1000001001111…
…1001111001010
32101100212201120
42002133033022
532224103131
63221100110
7563515614
oct202371712
971325646
1034206666
1118343a7a
12b557636
137118940
144785db4
15300a496
hex209f3ca

34206666 has 32 divisors (see below), whose sum is σ = 74934720. Its totient is φ = 10345344.

The previous prime is 34206637. The next prime is 34206673. The reversal of 34206666 is 66660243.

34206666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

34206666 is a modest number, since divided by 6666 gives 3420 as remainder.

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, 886 + ... + 8318.

It is an arithmetic number, because the mean of its divisors is an integer number (2341710).

Almost surely, 234206666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34206666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37467360).

34206666 is an abundant number, since it is smaller than the sum of its proper divisors (40728054).

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

34206666 is a wasteful number, since it uses less digits than its factorization.

34206666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7510.

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 34206666 is about 5848.6465100910. The cubic root of 34206666 is about 324.6162444810.

The spelling of 34206666 in words is "thirty-four million, two hundred six thousand, six hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 59 78 118 177 354 767 1534 2301 4602 7433 14866 22299 44598 96629 193258 289887 438547 579774 877094 1315641 2631282 5701111 11402222 17103333 34206666