Search a number
-
+
6468330 = 23511171153
BaseRepresentation
bin11000101011001011101010
3110011121212210
4120223023222
53123441310
6350345550
7105660051
oct30531352
913147783
106468330
113718830
1221bb2b6
13145621b
14c05398
1587b820
hex62b2ea

6468330 has 64 divisors (see below), whose sum is σ = 17947008. Its totient is φ = 1474560.

The previous prime is 6468323. The next prime is 6468349. The reversal of 6468330 is 338646.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5034 + ... + 6186.

It is an arithmetic number, because the mean of its divisors is an integer number (280422).

Almost surely, 26468330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6468330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8973504).

6468330 is an abundant number, since it is smaller than the sum of its proper divisors (11478678).

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

6468330 is a wasteful number, since it uses less digits than its factorization.

6468330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 6468330 is about 2543.2911748363. The cubic root of 6468330 is about 186.3219651931.

The spelling of 6468330 in words is "six million, four hundred sixty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1153 1870 2306 2805 3459 5610 5765 6918 11530 12683 17295 19601 25366 34590 38049 39202 58803 63415 76098 98005 117606 126830 190245 196010 215611 294015 380490 431222 588030 646833 1078055 1293666 2156110 3234165 6468330