Search a number
-
+
342569950758 = 233717206325841
BaseRepresentation
bin1001111110000101100…
…00101001111000100110
31012202020021210120221000
410333002300221320212
521103040401411013
6421212514534130
733515126352060
oct4770260517046
91182207716830
10342569950758
11122312896392
1256485b97346
13263c5462899
141281ab6c730
158d9eadc973
hex4fc2c29e26

342569950758 has 128 divisors (see below), whose sum is σ = 921678704640. Its totient is φ = 92071434240.

The previous prime is 342569950757. The next prime is 342569950777. The reversal of 342569950758 is 857059965243.

342569950758 is a `hidden beast` number, since 3 + 425 + 6 + 99 + 50 + 75 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 342569950695 and 342569950704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342569950753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13243918 + ... + 13269758.

It is an arithmetic number, because the mean of its divisors is an integer number (7200614880).

Almost surely, 2342569950758 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342569950758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460839352320).

342569950758 is an abundant number, since it is smaller than the sum of its proper divisors (579108753882).

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

342569950758 is a wasteful number, since it uses less digits than its factorization.

342569950758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27939 (or 27933 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 342569950758 in words is "three hundred forty-two billion, five hundred sixty-nine million, nine hundred fifty thousand, seven hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2063 2142 3213 4126 6189 6426 12378 14441 18567 25841 28882 35071 37134 43323 51682 55701 70142 77523 86646 105213 111402 129969 155046 180887 210426 232569 245497 259938 315639 361774 389907 439297 465138 490994 542661 631278 697707 736491 779814 878594 946917 1085322 1317891 1395414 1472982 1627983 1893834 2209473 2635782 3075079 3255966 3953673 4418946 4883949 6150158 6628419 7907346 9225237 9767898 11861019 13256838 18450474 23722038 27675711 53309983 55351422 83027133 106619966 159929949 166054266 319859898 373169881 479789847 746339762 906269711 959579694 1119509643 1439369541 1812539422 2239019286 2718809133 2878739082 3358528929 5437618266 6343887977 6717057858 8156427399 10075586787 12687775954 16312854798 19031663931 20151173574 24469282197 38063327862 48938564394 57094991793 114189983586 171284975379 342569950758