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328320048 = 243717229251
BaseRepresentation
bin10011100100011…
…100010000110000
3211212210101102210
4103210130100300
51133022220143
652325012120
711064450210
oct2344342060
9755711383
10328320048
11159367791
1291b54040
1353035224
1431866240
151dc55033
hex1391c430

328320048 has 160 divisors (see below), whose sum is σ = 1034933760. Its totient is φ = 87552000.

The previous prime is 328320037. The next prime is 328320061. The reversal of 328320048 is 840023823.

It is a junction number, because it is equal to n+sod(n) for n = 328319997 and 328320024.

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, 1307923 + ... + 1308173.

It is an arithmetic number, because the mean of its divisors is an integer number (6468336).

Almost surely, 2328320048 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 328320048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517466880).

328320048 is an abundant number, since it is smaller than the sum of its proper divisors (706613712).

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

328320048 is a wasteful number, since it uses less digits than its factorization.

328320048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 328320048 is about 18119.6039691821. The cubic root of 328320048 is about 689.8676830927.

The spelling of 328320048 in words is "three hundred twenty-eight million, three hundred twenty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 229 238 251 272 336 357 408 458 476 502 687 714 753 816 916 952 1004 1374 1428 1506 1603 1757 1832 1904 2008 2748 2856 3012 3206 3514 3664 3893 4016 4267 4809 5271 5496 5712 6024 6412 7028 7786 8534 9618 10542 10992 11679 12048 12801 12824 14056 15572 17068 19236 21084 23358 25602 25648 27251 28112 29869 31144 34136 38472 42168 46716 51204 54502 57479 59738 62288 68272 76944 81753 84336 89607 93432 102408 109004 114958 119476 163506 172437 179214 186864 204816 218008 229916 238952 327012 344874 358428 402353 436016 459832 477904 654024 689748 716856 804706 919664 977143 1207059 1308048 1379496 1433712 1609412 1954286 2414118 2758992 2931429 3218824 3908572 4828236 5862858 6437648 6840001 7817144 9656472 11725716 13680002 15634288 19312944 20520003 23451432 27360004 41040006 46902864 54720008 82080012 109440016 164160024 328320048