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328320630 = 2325112314419
BaseRepresentation
bin10011100100011…
…100011001110110
3211212210102020100
4103210130121312
51133022230010
652325014530
711064452001
oct2344343166
9755712210
10328320630
11159368170
1291b54446
1353035581
1431866538
151dc552c0
hex1391c676

328320630 has 96 divisors (see below), whose sum is σ = 971792640. Its totient is φ = 76127040.

The previous prime is 328320623. The next prime is 328320649. The reversal of 328320630 is 36023823.

328320630 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 20 + 630 = 666.

328320630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 328320594 and 328320603.

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, 15561 + ... + 29979.

It is an arithmetic number, because the mean of its divisors is an integer number (10122840).

Almost surely, 2328320630 is an apocalyptic number.

328320630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 328320630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485896320).

328320630 is an abundant number, since it is smaller than the sum of its proper divisors (643472010).

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

328320630 is a wasteful number, since it uses less digits than its factorization.

328320630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14466 (or 14463 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 328320630 is about 18119.6200291286. The cubic root of 328320630 is about 689.8680907262.

The spelling of 328320630 in words is "three hundred twenty-eight million, three hundred twenty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 495 506 690 759 990 1035 1265 1518 2070 2277 2530 3795 4554 7590 11385 14419 22770 28838 43257 72095 86514 129771 144190 158609 216285 259542 317218 331637 432570 475827 648855 663274 793045 951654 994911 1297710 1427481 1586090 1658185 1989822 2379135 2854962 2984733 3316370 3648007 4758270 4974555 5969466 7137405 7296014 9949110 10944021 14274810 14923665 18240035 21888042 29847330 32832063 36480070 54720105 65664126 109440210 164160315 328320630