Search a number
-
+
34407282065 = 513240718677
BaseRepresentation
bin100000000010110101…
…010111010110010001
310021210220101000210012
4200002311113112101
51030431231011230
623450111244305
72325434033462
oct400265272621
9107726330705
1034407282065
1113657017302
126802b19695
1333244a7800
1419458dad69
15d65a00395
hex802d57591

34407282065 has 12 divisors (see below), whose sum is σ = 44709108444. Its totient is φ = 25408453824.

The previous prime is 34407282047. The next prime is 34407282071. The reversal of 34407282065 is 56028270443.

It is a Cunningham number, because it is equal to 1854922+1.

It can be written as a sum of positive squares in 6 ways, for example, as 648364369 + 33758917696 = 25463^2 + 183736^2 .

It is not a de Polignac number, because 34407282065 - 232 = 30112314769 is a prime.

It is a super-2 number, since 2×344072820652 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20358494 + ... + 20360183.

It is an arithmetic number, because the mean of its divisors is an integer number (3725759037).

Almost surely, 234407282065 is an apocalyptic number.

It is an amenable number.

34407282065 is a deficient number, since it is larger than the sum of its proper divisors (10301826379).

34407282065 is a wasteful number, since it uses less digits than its factorization.

34407282065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40718708 (or 40718695 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 34407282065 in words is "thirty-four billion, four hundred seven million, two hundred eighty-two thousand, sixty-five".

Divisors: 1 5 13 65 169 845 40718677 203593385 529342801 2646714005 6881456413 34407282065