Search a number
-
+
10340323236 = 223217127133039
BaseRepresentation
bin10011010000101010…
…01100111110100100
3222200122010211211200
421220111030332210
5132134110320421
64430021002500
7514146203655
oct115025147644
928618124750
1010340323236
11442692a991
122006b53430
13c8a365c79
1470143152c
15407bd4726
hex26854cfa4

10340323236 has 72 divisors (see below), whose sum is σ = 27893698560. Its totient is φ = 3218455296.

The previous prime is 10340323211. The next prime is 10340323237. The reversal of 10340323236 is 63232304301.

It is a happy number.

10340323236 is a `hidden beast` number, since 1 + 0 + 3 + 403 + 23 + 236 = 666.

It is not an unprimeable number, because it can be changed into a prime (10340323237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11205 + ... + 144243.

It is an arithmetic number, because the mean of its divisors is an integer number (387412480).

Almost surely, 210340323236 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 10340323236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13946849280).

10340323236 is an abundant number, since it is smaller than the sum of its proper divisors (17553375324).

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

10340323236 is a wasteful number, since it uses less digits than its factorization.

10340323236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133193 (or 133188 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10340323236 its reverse (63232304301), we get a palindrome (73572627537).

The spelling of 10340323236 in words is "ten billion, three hundred forty million, three hundred twenty-three thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 127 153 204 254 306 381 508 612 762 1143 1524 2159 2286 4318 4572 6477 8636 12954 19431 25908 38862 77724 133039 266078 399117 532156 798234 1197351 1596468 2261663 2394702 4523326 4789404 6784989 9046652 13569978 16895953 20354967 27139956 33791906 40709934 50687859 67583812 81419868 101375718 152063577 202751436 287231201 304127154 574462402 608254308 861693603 1148924804 1723387206 2585080809 3446774412 5170161618 10340323236