Search a number
-
+
6463368 = 2333231301
BaseRepresentation
bin11000101001111110001000
3110011101002000
4120221332020
53123311433
6350311000
7105636432
oct30517610
913141060
106463368
11371502a
1221b8460
131453ba2
14c03652
1587a113
hex629f88

6463368 has 64 divisors (see below), whose sum is σ = 18748800. Its totient is φ = 2059200.

The previous prime is 6463337. The next prime is 6463381. The reversal of 6463368 is 8633646.

6463368 is a `hidden beast` number, since 646 + 3 + 3 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a d-powerful number, because it can be written as 6 + 4 + 62 + 36 + 314 + 68 + 8 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4318 + ... + 5618.

It is an arithmetic number, because the mean of its divisors is an integer number (292950).

Almost surely, 26463368 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 6463368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400).

6463368 is an abundant number, since it is smaller than the sum of its proper divisors (12285432).

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

6463368 is a wasteful number, since it uses less digits than its factorization.

6463368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1329 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 6463368 is about 2542.3154800300. The cubic root of 6463368 is about 186.2743090953.

The spelling of 6463368 in words is "six million, four hundred sixty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1301 1656 2484 2602 3903 4968 5204 7806 10408 11709 15612 23418 29923 31224 35127 46836 59846 70254 89769 93672 119692 140508 179538 239384 269307 281016 359076 538614 718152 807921 1077228 1615842 2154456 3231684 6463368