Search a number
-
+
684616536 = 2335834243
BaseRepresentation
bin101000110011100…
…110101101011000
31202201020010100000
4220303212231120
52400230212121
6151533413000
722652100402
oct5063465530
91681203300
10684616536
113214a259a
1217133a160
13abab4356
1466cd1b72
1540184526
hex28ce6b58

684616536 has 96 divisors (see below), whose sum is σ = 1946468160. Its totient is φ = 225402912.

The previous prime is 684616507. The next prime is 684616547. The reversal of 684616536 is 635616486.

684616536 is a `hidden beast` number, since 68 + 46 + 16 + 536 = 666.

684616536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 684616491 and 684616500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159231 + ... + 163473.

It is an arithmetic number, because the mean of its divisors is an integer number (20275710).

Almost surely, 2684616536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684616536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973234080).

684616536 is an abundant number, since it is smaller than the sum of its proper divisors (1261851624).

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

684616536 is a wasteful number, since it uses less digits than its factorization.

684616536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4347 (or 4331 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 684616536 is about 26165.1779279255. The cubic root of 684616536 is about 881.3514599344.

Subtracting from 684616536 its reverse (635616486), we obtain a triangular number (49000050 = T9899).

The spelling of 684616536 in words is "six hundred eighty-four million, six hundred sixteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 162 166 216 243 249 324 332 486 498 648 664 747 972 996 1494 1944 1992 2241 2988 4243 4482 5976 6723 8486 8964 12729 13446 16972 17928 20169 25458 26892 33944 38187 40338 50916 53784 76374 80676 101832 114561 152748 161352 229122 305496 343683 352169 458244 687366 704338 916488 1031049 1056507 1374732 1408676 2062098 2113014 2749464 2817352 3169521 4124196 4226028 6339042 8248392 8452056 9508563 12678084 19017126 25356168 28525689 38034252 57051378 76068504 85577067 114102756 171154134 228205512 342308268 684616536