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328063000320 = 283251116092
BaseRepresentation
bin1001100011000100001…
…01000001111100000000
31011100210021102011002100
410301202011001330000
520333333112002240
6410413212350400
732462464330656
oct4614205017400
91140707364070
10328063000320
11117149013850
12536b7775400
1324c22b07143
1411c42210dd6
15880121be30
hex4c62141f00

328063000320 has 324 divisors, whose sum is σ = 1239021483336. Its totient is φ = 79480995840.

The previous prime is 328063000283. The next prime is 328063000379. The reversal of 328063000320 is 23000360823.

328063000320 is a `hidden beast` number, since 3 + 2 + 8 + 0 + 630 + 0 + 0 + 3 + 20 = 666.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 203891676 + ... + 203893284.

Almost surely, 2328063000320 is an apocalyptic number.

328063000320 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 328063000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619510741668).

328063000320 is an abundant number, since it is smaller than the sum of its proper divisors (910958483016).

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

328063000320 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (328063000319) it forms an eRAP, since the sums of their prime factors are consecutive (3255 and 3256).

328063000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 1630 counting only the distinct ones).

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

The spelling of 328063000320 in words is "three hundred twenty-eight billion, sixty-three million, three hundred twenty", and thus it is an aban number.