Search a number
-
+
6322968 = 233373401
BaseRepresentation
bin11000000111101100011000
3102220020111000
4120013230120
53104313333
6343305000
7104513211
oct30075430
912806430
106322968
1136295a3
12214b160
131405002
14ba8408
1584d713
hex607b18

6322968 has 64 divisors (see below), whose sum is σ = 17848800. Its totient is φ = 2073600.

The previous prime is 6322909. The next prime is 6322969. The reversal of 6322968 is 8692236.

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 + 312 + 220 + 222 + 94 + 67 + 86 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6322969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15568 + ... + 15968.

Almost surely, 26322968 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 6322968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8924400).

6322968 is an abundant number, since it is smaller than the sum of its proper divisors (11525832).

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

6322968 is a wasteful number, since it uses less digits than its factorization.

6322968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 479 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 6322968 is about 2514.5512522118. The cubic root of 6322968 is about 184.9156469592.

It can be divided in two parts, 632 and 2968, that added together give a square (3600 = 602).

The spelling of 6322968 in words is "six million, three hundred twenty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 401 438 584 657 802 876 1203 1314 1604 1752 1971 2406 2628 3208 3609 3942 4812 5256 7218 7884 9624 10827 14436 15768 21654 28872 29273 43308 58546 86616 87819 117092 175638 234184 263457 351276 526914 702552 790371 1053828 1580742 2107656 3161484 6322968