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6328368 = 243419257
BaseRepresentation
bin11000001001000000110000
3102220111220000
4120021000300
53110001433
6343350000
7104535024
oct30110060
912814800
106328368
113632662
122152300
1314075c7
14baa384
15850113
hex609030

6328368 has 100 divisors (see below), whose sum is σ = 19355160. Its totient is φ = 1990656.

The previous prime is 6328367. The next prime is 6328411. The reversal of 6328368 is 8638236.

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 not an unprimeable number, because it can be changed into a prime (6328363) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24496 + ... + 24752.

Almost surely, 26328368 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 6328368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9677580).

6328368 is an abundant number, since it is smaller than the sum of its proper divisors (13026792).

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

6328368 is a wasteful number, since it uses less digits than its factorization.

6328368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 6328368 is about 2515.6247732919. The cubic root of 6328368 is about 184.9682731081.

The spelling of 6328368 in words is "six million, three hundred twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 257 304 324 342 432 456 513 514 648 684 771 912 1026 1028 1296 1368 1539 1542 2052 2056 2313 2736 3078 3084 4104 4112 4626 4883 6156 6168 6939 8208 9252 9766 12312 12336 13878 14649 18504 19532 20817 24624 27756 29298 37008 39064 41634 43947 55512 58596 78128 83268 87894 111024 117192 131841 166536 175788 234384 263682 333072 351576 395523 527364 703152 791046 1054728 1582092 2109456 3164184 6328368