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3000312042 = 2372131136947
BaseRepresentation
bin1011001011010101…
…0010000011101010
321202002121122101020
42302311102003222
522121034441132
61213415033310
7134231142300
oct26265220352
97662548336
103000312042
1112aa663932
126b896b836
1338a793590
14206688270
1512860652c
hexb2d520ea

3000312042 has 96 divisors (see below), whose sum is σ = 7584881472. Its totient is φ = 784175616.

The previous prime is 3000312041. The next prime is 3000312043. The reversal of 3000312042 is 2402130003.

It is an interprime number because it is at equal distance from previous prime (3000312041) and next prime (3000312043).

It is not an unprimeable number, because it can be changed into a prime (3000312041) 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, 428413 + ... + 435359.

It is an arithmetic number, because the mean of its divisors is an integer number (79009182).

Almost surely, 23000312042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000312042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792440736).

3000312042 is an abundant number, since it is smaller than the sum of its proper divisors (4584569430).

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

3000312042 is a wasteful number, since it uses less digits than its factorization.

3000312042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7092 (or 7085 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3000312042 is about 54775.1042171533. The cubic root of 3000312042 is about 1442.2995732894.

Adding to 3000312042 its reverse (2402130003), we get a palindrome (5402442045).

The spelling of 3000312042 in words is "three billion, three hundred twelve thousand, forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 113 147 182 226 273 294 339 546 637 678 791 1274 1469 1582 1911 2373 2938 3822 4407 4746 5537 6947 8814 10283 11074 13894 16611 20566 20841 30849 33222 41682 48629 61698 71981 90311 97258 143962 145887 180622 215943 270933 291774 340403 431886 541866 632177 680806 785011 1021209 1264354 1570022 1896531 2042418 2355033 3793062 4425239 4710066 5495077 8850478 10205143 10990154 13275717 16485231 20410286 26551434 30615429 32970462 38465539 61230858 71436001 76931078 115396617 142872002 214308003 230793234 428616006 500052007 1000104014 1500156021 3000312042