Search a number
-
+
3409859236 = 2272432972
BaseRepresentation
bin1100101100111110…
…0101001010100100
322210122020210111211
43023033211022210
523440410443421
61322205041204
7150333216400
oct31317451244
98718223454
103409859236
11149a85a793
127b1b56204
134245985b4
14244c16100
1514e5539e1
hexcb3e52a4

3409859236 has 81 divisors (see below), whose sum is σ = 7180703649. Its totient is φ = 1412667648.

The previous prime is 3409859213. The next prime is 3409859249. The reversal of 3409859236 is 6329589043.

The square root of 3409859236 is 58394.

It is a perfect power (a square), and thus also a powerful number.

3409859236 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1531156900 + 1878702336 = 39130^2 + 43344^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 3409859236.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35153140 + ... + 35153236.

Almost surely, 23409859236 is an apocalyptic number.

3409859236 is the 58394-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3409859236

3409859236 is an abundant number, since it is smaller than the sum of its proper divisors (3770844413).

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

3409859236 is an equidigital number, since it uses as much as digits as its factorization.

3409859236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

The cubic root of 3409859236 is about 1505.1466523759.

Multiplying 3409859236 by its sum of digits (49), we get a square (167083102564 = 4087582).

3409859236 divided by its sum of digits (49) gives a square (69588964 = 83422).

The spelling of 3409859236 in words is "three billion, four hundred nine million, eight hundred fifty-nine thousand, two hundred thirty-six".

Divisors: 1 2 4 7 14 28 43 49 86 97 98 172 194 196 301 388 602 679 1204 1358 1849 2107 2716 3698 4171 4214 4753 7396 8342 8428 9409 9506 12943 16684 18818 19012 25886 29197 37636 51772 58394 65863 90601 116788 131726 179353 181202 204379 263452 358706 362404 404587 408758 461041 717412 809174 817516 922082 1255471 1618348 1844164 2510942 2832109 5021884 5664218 8788297 11328436 17397241 17576594 19824763 34794482 35153188 39649526 69588964 79299052 121780687 243561374 487122748 852464809 1704929618 3409859236