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328300830 = 233511213773
BaseRepresentation
bin10011100100010…
…111100100011110
3211212202102002000
4103210113210132
51133021111310
652324343130
711064340164
oct2344274436
9755672060
10328300830
11159354300
1291b44aa6
1353029560
143185d234
151dc4e4c0
hex1391791e

328300830 has 192 divisors, whose sum is σ = 1037655360. Its totient is φ = 73370880.

The previous prime is 328300771. The next prime is 328300837. The reversal of 328300830 is 38003823.

328300830 is a `hidden beast` number, since 328 + 300 + 8 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 328300794 and 328300803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328300837) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 424324 + ... + 425096.

It is an arithmetic number, because the mean of its divisors is an integer number (5404455).

Almost surely, 2328300830 is an apocalyptic number.

328300830 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 328300830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518827680).

328300830 is an abundant number, since it is smaller than the sum of its proper divisors (709354530).

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

328300830 is a wasteful number, since it uses less digits than its factorization.

328300830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 328300830 is about 18119.0736518179. The cubic root of 328300830 is about 689.8542225116.

The spelling of 328300830 in words is "three hundred twenty-eight million, three hundred thousand, eight hundred thirty".