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328680 = 233251183
BaseRepresentation
bin1010000001111101000
3121200212100
41100033220
541004210
611013400
72536152
oct1201750
9550770
10328680
11204a40
1213a260
13b67b1
1487ad2
15675c0
hex503e8

328680 has 96 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 78720.

The previous prime is 328667. The next prime is 328687. The reversal of 328680 is 86823.

328680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328680.

It is not an unprimeable number, because it can be changed into a prime (328687) by changing a digit.

328680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3919 + ... + 4001.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2328680 is an apocalyptic number.

328680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

328680 is an abundant number, since it is smaller than the sum of its proper divisors (850680).

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

328680 is a wasteful number, since it uses less digits than its factorization.

328680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 328680 is about 573.3062009084. The cubic root of 328680 is about 69.0119701980.

The spelling of 328680 in words is "three hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 83 88 90 99 110 120 132 165 166 180 198 220 249 264 330 332 360 396 415 440 495 498 660 664 747 792 830 913 990 996 1245 1320 1494 1660 1826 1980 1992 2490 2739 2988 3320 3652 3735 3960 4565 4980 5478 5976 7304 7470 8217 9130 9960 10956 13695 14940 16434 18260 21912 27390 29880 32868 36520 41085 54780 65736 82170 109560 164340 328680