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328319880 = 233572691453
BaseRepresentation
bin10011100100011…
…100001110001000
3211212210101012120
4103210130032020
51133022214010
652325011240
711064446550
oct2344341610
9755711176
10328319880
11159367649
1291b53b20
1353035125
1431866160
151dc54e70
hex1391c388

328319880 has 128 divisors (see below), whose sum is σ = 1130630400. Its totient is φ = 74714112.

The previous prime is 328319851. The next prime is 328319897. The reversal of 328319880 is 88913823.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225234 + ... + 226686.

It is an arithmetic number, because the mean of its divisors is an integer number (8833050).

Almost surely, 2328319880 is an apocalyptic number.

328319880 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 328319880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565315200).

328319880 is an abundant number, since it is smaller than the sum of its proper divisors (802310520).

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

328319880 is a wasteful number, since it uses less digits than its factorization.

328319880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 328319880 is about 18119.5993333186. The cubic root of 328319880 is about 689.8675654252.

The spelling of 328319880 in words is "three hundred twenty-eight million, three hundred nineteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 269 280 420 538 807 840 1076 1345 1453 1614 1883 2152 2690 2906 3228 3766 4035 4359 5380 5649 5812 6456 7265 7532 8070 8718 9415 10171 10760 11298 11624 14530 15064 16140 17436 18830 20342 21795 22596 28245 29060 30513 32280 34872 37660 40684 43590 45192 50855 56490 58120 61026 75320 81368 87180 101710 112980 122052 152565 174360 203420 225960 244104 305130 390857 406840 610260 781714 1172571 1220520 1563428 1954285 2345142 2735999 3126856 3908570 4690284 5471998 5862855 7817140 8207997 9380568 10943996 11725710 13679995 15634280 16415994 21887992 23451420 27359990 32831988 41039985 46902840 54719980 65663976 82079970 109439960 164159940 328319880