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8230330328 = 2311611533221
BaseRepresentation
bin1111010101001000…
…01101111111011000
3210020120211002201012
413222210031333120
5113323431032303
63440404313052
7410645440103
oct75244157730
923216732635
108230330328
113543896aa0
1217183a2788
13a1218985c
1458110373a
153328465d8
hex1ea90dfd8

8230330328 has 32 divisors (see below), whose sum is σ = 17110757520. Its totient is φ = 3679728000.

The previous prime is 8230330307. The next prime is 8230330379.

8230330328 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8230330294 and 8230330303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 761243 + ... + 771978.

Almost surely, 28230330328 is an apocalyptic number.

8230330328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8230330328 is an abundant number, since it is smaller than the sum of its proper divisors (8880427192).

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

8230330328 is a wasteful number, since it uses less digits than its factorization.

8230330328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533299 (or 1533295 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 8230330328 is about 90721.1680259905. The cubic root of 8230330328 is about 2019.0128765170.

The spelling of 8230330328 in words is "eight billion, two hundred thirty million, three hundred thirty thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 61 88 122 244 488 671 1342 2684 5368 1533221 3066442 6132884 12265768 16865431 33730862 67461724 93526481 134923448 187052962 374105924 748211848 1028791291 2057582582 4115165164 8230330328