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3000117366 = 23519569571
BaseRepresentation
bin1011001011010010…
…0010100001110110
321202002020202100000
42302310202201312
522121012223431
61213410532130
7134226401601
oct26264424166
97662222300
103000117366
1112aa540644
126b8897046
1338a725a9c
14206637338
151285b89e6
hexb2d22876

3000117366 has 96 divisors (see below), whose sum is σ = 7120713600. Its totient is φ = 944084160.

The previous prime is 3000117331. The next prime is 3000117389. The reversal of 3000117366 is 6637110003.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5253861 + ... + 5254431.

It is an arithmetic number, because the mean of its divisors is an integer number (74174100).

Almost surely, 23000117366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000117366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560356800).

3000117366 is an abundant number, since it is smaller than the sum of its proper divisors (4120596234).

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

3000117366 is a wasteful number, since it uses less digits than its factorization.

3000117366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3000117366 is about 54773.3271401327. The cubic root of 3000117366 is about 1442.2683779580.

Adding to 3000117366 its reverse (6637110003), we get a palindrome (9637227369).

The spelling of 3000117366 in words is "three billion, one hundred seventeen thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 569 571 1026 1138 1142 1539 1707 1713 3078 3414 3426 4617 5121 5139 9234 10242 10278 10811 10849 15363 15417 21622 21698 30726 30834 32433 32547 46089 46251 64866 65094 92178 92502 97299 97641 138267 138753 194598 195282 276534 277506 291897 292923 324899 583794 585846 649798 875691 878769 974697 1751382 1757538 1949394 2627073 2636307 2924091 5254146 5272614 5848182 6173081 8772273 12346162 17544546 18519243 26316819 37038486 52633638 55557729 78950457 111115458 157900914 166673187 333346374 500019561 1000039122 1500058683 3000117366