Search a number
-
+
3028384788 = 22311134673779
BaseRepresentation
bin1011010010000001…
…0111110000010100
321211001102212221120
42310200113300110
522200231303123
61220300443540
7135021563112
oct26440276024
97731385846
103028384788
111314498350
127062495b0
13393542280
1420a2b4ab2
1512acee2e3
hexb4817c14

3028384788 has 96 divisors (see below), whose sum is σ = 8321564160. Its totient is φ = 845063040.

The previous prime is 3028384781. The next prime is 3028384813. The reversal of 3028384788 is 8874838203.

It is a super-2 number, since 2×30283847882 = 18342228848379609888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3028384788.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3028384781) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 799483 + ... + 803261.

It is an arithmetic number, because the mean of its divisors is an integer number (86682960).

Almost surely, 23028384788 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 3028384788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160782080).

3028384788 is an abundant number, since it is smaller than the sum of its proper divisors (5293179372).

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

3028384788 is a wasteful number, since it uses less digits than its factorization.

3028384788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The square root of 3028384788 is about 55030.7621971566. The cubic root of 3028384788 is about 1446.7839603010.

The spelling of 3028384788 in words is "three billion, twenty-eight million, three hundred eighty-four thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 467 572 858 934 1401 1716 1868 2802 3779 5137 5604 6071 7558 10274 11337 12142 15116 15411 18213 20548 22674 24284 30822 36426 41569 45348 49127 61644 66781 72852 83138 98254 124707 133562 147381 166276 196508 200343 249414 267124 294762 400686 498828 540397 589524 801372 1080794 1621191 1764793 2161588 3242382 3529586 5294379 6484764 7059172 10588758 19412723 21177516 22942309 38825446 45884618 58238169 68826927 77650892 91769236 116476338 137653854 232952676 252365399 275307708 504730798 757096197 1009461596 1514192394 3028384788