Search a number
-
+
3309788106 = 2321721933487
BaseRepresentation
bin1100010101000111…
…0101101111001010
322112122221122201200
43011101311233022
523234301204411
61304232125030
7145006510002
oct30521655712
98478848650
103309788106
11144931a879
12784536776
1340992b601
14235807002
15145887e56
hexc5475bca

3309788106 has 72 divisors (see below), whose sum is σ = 8019036480. Its totient is φ = 983684736.

The previous prime is 3309788071. The next prime is 3309788117. The reversal of 3309788106 is 6018879033.

It is a happy 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 35 ways as a sum of consecutive naturals, for example, 82095 + ... + 115581.

Almost surely, 23309788106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3309788106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009518240).

3309788106 is an abundant number, since it is smaller than the sum of its proper divisors (4709248374).

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

3309788106 is a wasteful number, since it uses less digits than its factorization.

3309788106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33548 (or 33528 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3309788106 is about 57530.7579126158. The cubic root of 3309788106 is about 1490.2760784467.

The spelling of 3309788106 in words is "three billion, three hundred nine million, seven hundred eighty-eight thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 289 306 323 342 578 646 867 969 1734 1938 2601 2907 5202 5491 5814 10982 16473 32946 33487 49419 66974 98838 100461 200922 301383 569279 602766 636253 1138558 1272506 1707837 1908759 3415674 3817518 5123511 5726277 9677743 10247022 10816301 11452554 19355486 21632602 29033229 32448903 58066458 64897806 87099687 97346709 174199374 183877117 194693418 367754234 551631351 1103262702 1654894053 3309788106