Search a number
-
+
345182707422 = 232713721194771
BaseRepresentation
bin1010000010111100111…
…11100001111011011110
31012222222101011101021100
411001132133201323132
521123413233114142
6422324051213530
733636643413330
oct5013637417336
91188871141240
10345182707422
11123433704113
1256a94ba72a6
1326720851047
14129c7b71450
158ea418cb4c
hex505e7e1ede

345182707422 has 96 divisors (see below), whose sum is σ = 865066685184. Its totient is φ = 97438723200.

The previous prime is 345182707367. The next prime is 345182707439. The reversal of 345182707422 is 224707281543.

345182707422 is a `hidden beast` number, since 3 + 45 + 182 + 7 + 0 + 7 + 422 = 666.

It is a super-2 number, since 2×3451827074222 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3594897 + ... + 3689667.

It is an arithmetic number, because the mean of its divisors is an integer number (9011111304).

Almost surely, 2345182707422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345182707422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432533342592).

345182707422 is an abundant number, since it is smaller than the sum of its proper divisors (519883977762).

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

345182707422 is a wasteful number, since it uses less digits than its factorization.

345182707422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95134 (or 95131 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

Adding to 345182707422 its reverse (224707281543), we get a palindrome (569889988965).

The spelling of 345182707422 in words is "three hundred forty-five billion, one hundred eighty-two million, seven hundred seven thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 137 211 274 411 422 633 822 959 1233 1266 1477 1899 1918 2466 2877 2954 3798 4431 5754 8631 8862 13293 17262 26586 28907 57814 86721 94771 173442 189542 202349 260163 284313 404698 520326 568626 607047 663397 852939 1214094 1326794 1705878 1821141 1990191 3642282 3980382 5970573 11941146 12983627 19996681 25967254 38950881 39993362 59990043 77901762 90885389 116852643 119980086 139976767 179970129 181770778 233705286 272656167 279953534 359940258 419930301 545312334 817968501 839860602 1259790903 1635937002 2519581806 2739545297 5479090594 8218635891 16437271782 19176817079 24655907673 38353634158 49311815346 57530451237 115060902474 172591353711 345182707422