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328063000284 = 223323181729671
BaseRepresentation
bin1001100011000100001…
…01000001111011011100
31011100210021102011001000
410301202011001323130
520333333112002114
6410413212350300
732462464330605
oct4614205017334
91140707364030
10328063000284
11117149013818
12536b7775390
1324c22b07116
1411c42210dac
15880121be09
hex4c62141edc

328063000284 has 96 divisors (see below), whose sum is σ = 892418042880. Its totient is φ = 104021755200.

The previous prime is 328063000283. The next prime is 328063000379. The reversal of 328063000284 is 482000360823.

328063000284 is a `hidden beast` number, since 328 + 0 + 6 + 300 + 0 + 28 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328063000283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84769 + ... + 814439.

It is an arithmetic number, because the mean of its divisors is an integer number (9296021280).

Almost surely, 2328063000284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328063000284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446209021440).

328063000284 is an abundant number, since it is smaller than the sum of its proper divisors (564355042596).

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

328063000284 is a wasteful number, since it uses less digits than its factorization.

328063000284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729888 (or 729880 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 328063000284 in words is "three hundred twenty-eight billion, sixty-three million, two hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 181 207 276 362 414 543 621 724 828 1086 1242 1629 2172 2484 3258 4163 4887 6516 8326 9774 12489 16652 19548 24978 37467 49956 74934 112401 149868 224802 449604 729671 1459342 2189013 2918684 4378026 6567039 8756052 13134078 16782433 19701117 26268156 33564866 39402234 50347299 67129732 78804468 100694598 132070451 151041897 201389196 264140902 302083794 396211353 453125691 528281804 604167588 792422706 906251382 1188634059 1584845412 1812502764 2377268118 3037620373 3565902177 4754536236 6075240746 7131804354 9112861119 12150481492 14263608708 18225722238 27338583357 36451444476 54677166714 82015750071 109354333428 164031500142 328063000284