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3000411663 = 323319714461
BaseRepresentation
bin1011001011010110…
…1010011000001111
321202002210201000220
42302311222120033
522121101133123
61213421122423
7134232035604
oct26265523017
97662721026
103000411663
1112aa721767
126b89b9413
1338a7c9a22
142066b26ab
15128625ce3
hexb2d6a60f

3000411663 has 32 divisors (see below), whose sum is σ = 4353871872. Its totient is φ = 1832371200.

The previous prime is 3000411643. The next prime is 3000411671. The reversal of 3000411663 is 3661140003.

It is not a de Polignac number, because 3000411663 - 210 = 3000410639 is a prime.

It is a super-3 number, since 3×30004116633 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000411643) 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, 200253 + ... + 214713.

It is an arithmetic number, because the mean of its divisors is an integer number (136058496).

Almost surely, 23000411663 is an apocalyptic number.

3000411663 is a deficient number, since it is larger than the sum of its proper divisors (1353460209).

3000411663 is a wasteful number, since it uses less digits than its factorization.

3000411663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14615.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3000411663 is about 54776.0135734611. The cubic root of 3000411663 is about 1442.3155362663.

Adding to 3000411663 its reverse (3661140003), we get a palindrome (6661551666).

The spelling of 3000411663 in words is "three billion, four hundred eleven thousand, six hundred sixty-three".

Divisors: 1 3 23 31 69 93 97 291 713 2139 2231 3007 6693 9021 14461 43383 69161 207483 332603 448291 997809 1344873 1402717 4208151 10310693 30932079 32262491 43484227 96787473 130452681 1000137221 3000411663