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328300560 = 24335721713
BaseRepresentation
bin10011100100010…
…111100000010000
3211212202101201000
4103210113200100
51133021104220
652324342000
711064336330
oct2344274020
9755671630
10328300560
11159354085
1291b44900
13530293b3
143185d0c0
151dc4e390
hex13917810

328300560 has 160 divisors (see below), whose sum is σ = 1292417280. Its totient is φ = 75036672.

The previous prime is 328300523. The next prime is 328300579. The reversal of 328300560 is 65003823.

328300560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4264 + ... + 25976.

It is an arithmetic number, because the mean of its divisors is an integer number (8077608).

Almost surely, 2328300560 is an apocalyptic number.

328300560 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 328300560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646208640).

328300560 is an abundant number, since it is smaller than the sum of its proper divisors (964116720).

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

328300560 is a wasteful number, since it uses less digits than its factorization.

328300560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21742 (or 21730 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 328300560 is about 18119.0662011043. The cubic root of 328300560 is about 689.8540333958.

The spelling of 328300560 in words is "three hundred twenty-eight million, three hundred thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 21713 43426 65139 86852 108565 130278 151991 173704 195417 217130 260556 303982 325695 347408 390834 434260 455973 521112 586251 607964 651390 759955 781668 868520 911946 977085 1042224 1172502 1215928 1302780 1367919 1519910 1563336 1737040 1823892 1954170 2279865 2345004 2431856 2605560 2735838 2931255 3039820 3126672 3647784 3908340 4103757 4559730 4690008 5211120 5471676 5862510 6079640 6839595 7295568 7816680 8207514 9119460 9380016 10943352 11725020 12159280 13679190 15633360 16415028 18238920 20518785 21886704 23450040 27358380 32830056 36477840 41037570 46900080 54716760 65660112 82075140 109433520 164150280 328300560