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328300 = 22527267
BaseRepresentation
bin1010000001001101100
3121200100021
41100021230
541001200
611011524
72535100
oct1201154
9550307
10328300
11204725
12139ba4
13b657b
1487900
156741a
hex5026c

328300 has 54 divisors (see below), whose sum is σ = 841092. Its totient is φ = 110880.

The previous prime is 328291. The next prime is 328303. The reversal of 328300 is 3823.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (328303) by changing a digit.

328300 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4867 + ... + 4933.

2328300 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 328300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420546).

328300 is an abundant number, since it is smaller than the sum of its proper divisors (512792).

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

328300 is a wasteful number, since it uses less digits than its factorization.

328300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 328300 is about 572.9746940311. The cubic root of 328300 is about 68.9853641155.

The spelling of 328300 in words is "three hundred twenty-eight thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 67 70 98 100 134 140 175 196 245 268 335 350 469 490 670 700 938 980 1225 1340 1675 1876 2345 2450 3283 3350 4690 4900 6566 6700 9380 11725 13132 16415 23450 32830 46900 65660 82075 164150 328300