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3066000384 = 21037114057
BaseRepresentation
bin1011011010111111…
…0111010000000000
321220200012221211210
42312233313100000
522234344003014
61224123010120
7135656400426
oct26657672000
97820187753
103066000384
11133374a517
12716969940
1339b282715
142112a7116
1512e27e859
hexb6bf7400

3066000384 has 88 divisors (see below), whose sum is σ = 8287697088. Its totient is φ = 1007534080.

The previous prime is 3066000383. The next prime is 3066000401. The reversal of 3066000384 is 4830006603.

3066000384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3066000383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211084 + ... + 225140.

It is an arithmetic number, because the mean of its divisors is an integer number (94178376).

Almost surely, 23066000384 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 3066000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143848544).

3066000384 is an abundant number, since it is smaller than the sum of its proper divisors (5221696704).

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

3066000384 is a wasteful number, since it uses less digits than its factorization.

3066000384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14151 (or 14133 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3066000384 is about 55371.4762671179. The cubic root of 3066000384 is about 1452.7495011136.

Adding to 3066000384 its reverse (4830006603), we get a palindrome (7896006987).

The spelling of 3066000384 in words is "three billion, sixty-six million, three hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 768 852 1024 1136 1536 1704 2272 3072 3408 4544 6816 9088 13632 14057 18176 27264 28114 36352 42171 54528 56228 72704 84342 109056 112456 168684 218112 224912 337368 449824 674736 899648 998047 1349472 1799296 1996094 2698944 2994141 3598592 3992188 5397888 5988282 7197184 7984376 10795776 11976564 14394368 15968752 21591552 23953128 31937504 43183104 47906256 63875008 95812512 127750016 191625024 255500032 383250048 511000064 766500096 1022000128 1533000192 3066000384