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328300320 = 25351793821
BaseRepresentation
bin10011100100010…
…111011100100000
3211212202101101010
4103210113130200
51133021102240
652324340520
711064335535
oct2344273440
9755671333
10328300320
11159353987
1291b44740
135302925a
143185cd8c
151dc4e280
hex13917720

328300320 has 96 divisors (see below), whose sum is σ = 1040195520. Its totient is φ = 87034880.

The previous prime is 328300309. The next prime is 328300331. The reversal of 328300320 is 23003823.

It is an interprime number because it is at equal distance from previous prime (328300309) and next prime (328300331).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3283003202 = 215562200224204800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84010 + ... + 87830.

It is an arithmetic number, because the mean of its divisors is an integer number (10835370).

Almost surely, 2328300320 is an apocalyptic number.

328300320 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 328300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520097760).

328300320 is an abundant number, since it is smaller than the sum of its proper divisors (711895200).

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

328300320 is a wasteful number, since it uses less digits than its factorization.

328300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 328300320 is about 18119.0595782452. The cubic root of 328300320 is about 689.8538652927.

The spelling of 328300320 in words is "three hundred twenty-eight million, three hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 179 240 358 480 537 716 895 1074 1432 1790 2148 2685 2864 3580 3821 4296 5370 5728 7160 7642 8592 10740 11463 14320 15284 17184 19105 21480 22926 28640 30568 38210 42960 45852 57315 61136 76420 85920 91704 114630 122272 152840 183408 229260 305680 366816 458520 611360 683959 917040 1367918 1834080 2051877 2735836 3419795 4103754 5471672 6839590 8207508 10259385 10943344 13679180 16415016 20518770 21886688 27358360 32830032 41037540 54716720 65660064 82075080 109433440 164150160 328300320