Search a number
-
+
3169408242 = 23711135231009
BaseRepresentation
bin1011110011101001…
…0101010011110010
322011212210121202110
42330322111103302
522442332030432
61242255230150
7141353345160
oct27472252362
98155717673
103169408242
111387059360
12745518356
133b681a3c0
14220d04230
151383a8dcc
hexbce954f2

3169408242 has 128 divisors (see below), whose sum is σ = 8535582720. Its totient is φ = 757693440.

The previous prime is 3169408241. The next prime is 3169408261. The reversal of 3169408242 is 2428049613.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3169408242.

It is not an unprimeable number, because it can be changed into a prime (3169408241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3140634 + ... + 3141642.

It is an arithmetic number, because the mean of its divisors is an integer number (66684240).

Almost surely, 23169408242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3169408242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267791360).

3169408242 is an abundant number, since it is smaller than the sum of its proper divisors (5366174478).

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

3169408242 is a wasteful number, since it uses less digits than its factorization.

3169408242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568.

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3169408242 is about 56297.4976530929. The cubic root of 3169408242 is about 1468.9016803979.

The spelling of 3169408242 in words is "three billion, one hundred sixty-nine million, four hundred eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 523 546 858 1001 1009 1046 1569 2002 2018 3003 3027 3138 3661 5753 6006 6054 6799 7063 7322 10983 11099 11506 13117 13598 14126 17259 20397 21189 21966 22198 26234 33297 34518 39351 40271 40794 42378 47593 66594 74789 77693 78702 80542 91819 95186 120813 142779 144287 149578 155386 183638 224367 233079 241626 275457 285558 288574 432861 448734 466158 523523 527707 550914 865722 1010009 1047046 1055414 1570569 1583121 2020018 3030027 3141138 3166242 3693949 5804777 6060054 6860191 7387898 11081847 11609554 13720382 17414331 20580573 22163694 34828662 40633439 41161146 48021337 75462101 81266878 96042674 121900317 144064011 150924202 226386303 243800634 288128022 452772606 528234707 1056469414 1584704121 3169408242