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328666100 = 225271771389
BaseRepresentation
bin10011100101110…
…000101111110100
3211220102222010112
4103211300233310
51133114303400
652340242152
711100421130
oct2345605764
9756388115
10328666100
11159583784
12920a0358
13531268a9
14319163c0
151dcc2835
hex13970bf4

328666100 has 144 divisors (see below), whose sum is σ = 877443840. Its totient is φ = 104294400.

The previous prime is 328666087. The next prime is 328666133. The reversal of 328666100 is 1666823.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 844706 + ... + 845094.

It is an arithmetic number, because the mean of its divisors is an integer number (6093360).

Almost surely, 2328666100 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 328666100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920).

328666100 is an abundant number, since it is smaller than the sum of its proper divisors (548777740).

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

328666100 is a wasteful number, since it uses less digits than its factorization.

328666100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 328666100 is about 18129.1505592513. The cubic root of 328666100 is about 690.1099733696.

The spelling of 328666100 in words is "three hundred twenty-eight million, six hundred sixty-six thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 71 85 100 119 140 142 170 175 238 284 340 350 355 389 425 476 497 595 700 710 778 850 994 1190 1207 1420 1556 1700 1775 1945 1988 2380 2414 2485 2723 2975 3550 3890 4828 4970 5446 5950 6035 6613 7100 7780 8449 9725 9940 10892 11900 12070 12425 13226 13615 16898 19450 24140 24850 26452 27230 27619 30175 33065 33796 38900 42245 46291 49700 54460 55238 60350 66130 68075 84490 92582 110476 120700 132260 136150 138095 165325 168980 185164 193333 211225 231455 272300 276190 330650 386666 422450 462910 469523 552380 661300 690475 773332 844900 925820 939046 966665 1157275 1380950 1878092 1933330 2314550 2347615 2761900 3286661 3866660 4629100 4695230 4833325 6573322 9390460 9666650 11738075 13146644 16433305 19333300 23476150 32866610 46952300 65733220 82166525 164333050 328666100