Search a number
-
+
6322164 = 2231721823
BaseRepresentation
bin11000000111011111110100
3102220012101020
4120013133310
53104302124
6343301140
7104510652
oct30073764
912805336
106322164
113628a32
12214a7b0
131404834
14ba7dd2
1584d379
hex6077f4

6322164 has 36 divisors (see below), whose sum is σ = 15679104. Its totient is φ = 1982336.

The previous prime is 6322163. The next prime is 6322259. The reversal of 6322164 is 4612236.

6322164 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6322163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2557 + ... + 4379.

Almost surely, 26322164 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 6322164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7839552).

6322164 is an abundant number, since it is smaller than the sum of its proper divisors (9356940).

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

6322164 is a wasteful number, since it uses less digits than its factorization.

6322164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1845 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 6322164 is about 2514.3913776499. The cubic root of 6322164 is about 184.9078089480.

The spelling of 6322164 in words is "six million, three hundred twenty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 289 578 867 1156 1734 1823 3468 3646 5469 7292 10938 21876 30991 61982 92973 123964 185946 371892 526847 1053694 1580541 2107388 3161082 6322164