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3005441730 = 2325172398219
BaseRepresentation
bin1011001100100011…
…0110011011000010
321202110021020222200
42303020312123002
522123343113410
61214121014030
7134322555534
oct26310663302
97673236880
103005441730
111302547945
126ba624316
1338b86b3b5
14207221854
15128cbb3c0
hexb32366c2

3005441730 has 96 divisors (see below), whose sum is σ = 8309433600. Its totient is φ = 751059456.

The previous prime is 3005441729. The next prime is 3005441731. The reversal of 3005441730 is 371445003.

It is an interprime number because it is at equal distance from previous prime (3005441729) and next prime (3005441731).

It is a junction number, because it is equal to n+sod(n) for n = 3005441694 and 3005441703.

It is not an unprimeable number, because it can be changed into a prime (3005441731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361561 + ... + 369779.

It is an arithmetic number, because the mean of its divisors is an integer number (86556600).

Almost surely, 23005441730 is an apocalyptic number.

3005441730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005441730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154716800).

3005441730 is an abundant number, since it is smaller than the sum of its proper divisors (5303991870).

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

3005441730 is a wasteful number, since it uses less digits than its factorization.

3005441730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8488 (or 8485 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3005441730 is about 54821.9092152034. The cubic root of 3005441730 is about 1443.1210805453.

Adding to 3005441730 its reverse (371445003), we get a palindrome (3376886733).

The spelling of 3005441730 in words is "three billion, five million, four hundred forty-one thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 239 255 306 478 510 717 765 1195 1434 1530 2151 2390 3585 4063 4302 7170 8126 8219 10755 12189 16438 20315 21510 24378 24657 36567 40630 41095 49314 60945 73134 73971 82190 121890 123285 139723 147942 182835 246570 279446 365670 369855 419169 698615 739710 838338 1257507 1397230 1964341 2095845 2515014 3928682 4191690 5893023 6287535 9821705 11786046 12575070 17679069 19643410 29465115 33393797 35358138 58930230 66787594 88395345 100181391 166968985 176790690 200362782 300544173 333937970 500906955 601088346 1001813910 1502720865 3005441730