Search a number
-
+
3106640334 = 2371914512683
BaseRepresentation
bin1011100100101011…
…1001000111001110
322000111200200101010
42321022321013032
522330244442314
61232134030050
7136662002310
oct27112710716
98014620333
103106640334
111354687956
127284a8326
133a6811625
142168457b0
15132b0b059
hexb92b91ce

3106640334 has 64 divisors (see below), whose sum is σ = 7482562560. Its totient is φ = 840002400.

The previous prime is 3106640297. The next prime is 3106640347. The reversal of 3106640334 is 4330466013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1156557 + ... + 1159239.

It is an arithmetic number, because the mean of its divisors is an integer number (116915040).

Almost surely, 23106640334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3106640334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741281280).

3106640334 is an abundant number, since it is smaller than the sum of its proper divisors (4375922226).

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

3106640334 is a wasteful number, since it uses less digits than its factorization.

3106640334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165.

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 3106640334 is about 55737.2436885786. The cubic root of 3106640334 is about 1459.1400975672.

The spelling of 3106640334 in words is "three billion, one hundred six million, six hundred forty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 1451 2683 2902 4353 5366 8049 8706 10157 16098 18781 20314 27569 30471 37562 50977 55138 56343 60942 82707 101954 112686 152931 165414 192983 305862 356839 385966 578949 713678 1070517 1157898 2141034 3893033 7786066 11679099 23358198 27251231 54502462 73967627 81753693 147935254 163507386 221902881 443805762 517773389 1035546778 1553320167 3106640334