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328063860 = 223251131272
BaseRepresentation
bin10011100011011…
…101101101110100
3211212022101000100
4103203131231310
51132441020420
652315314100
711062332255
oct2343355564
9755271010
10328063860
11159202263
1291a4b930
1352c75737
14317dab2c
151dc04190
hex138ddb74

328063860 has 108 divisors (see below), whose sum is σ = 1011900708. Its totient is φ = 86026752.

The previous prime is 328063843. The next prime is 328063871. The reversal of 328063860 is 68360823.

It can be written as a sum of positive squares in 2 ways, for example, as 47032164 + 281031696 = 6858^2 + 16764^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2583117 + ... + 2583243.

It is an arithmetic number, because the mean of its divisors is an integer number (9369451).

Almost surely, 2328063860 is an apocalyptic number.

328063860 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 328063860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505950354).

328063860 is an abundant number, since it is smaller than the sum of its proper divisors (683836848).

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

328063860 is a wasteful number, since it uses less digits than its factorization.

328063860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 250 counting only the distinct ones).

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

The square root of 328063860 is about 18112.5332297832. The cubic root of 328063860 is about 689.6882019106.

The spelling of 328063860 in words is "three hundred twenty-eight million, sixty-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 127 180 226 254 339 381 452 508 565 635 678 762 1017 1130 1143 1270 1356 1524 1695 1905 2034 2260 2286 2540 3390 3810 4068 4572 5085 5715 6780 7620 10170 11430 14351 16129 20340 22860 28702 32258 43053 48387 57404 64516 71755 80645 86106 96774 129159 143510 145161 161290 172212 193548 215265 241935 258318 287020 290322 322580 430530 483870 516636 580644 645795 725805 861060 967740 1291590 1451610 1822577 2583180 2903220 3645154 5467731 7290308 9112885 10935462 16403193 18225770 21870924 27338655 32806386 36451540 54677310 65612772 82015965 109354620 164031930 328063860