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3000785940 = 2234517108961
BaseRepresentation
bin1011001011011100…
…0101110000010100
321202010111201110000
42302313011300110
522121200122230
61213433131300
7134235155025
oct26267056024
97663451400
103000785940
1112aa957989
126b8b59b30
1338a8cb1a9
1420676cc4c
1512869bb60
hexb2dc5c14

3000785940 has 120 divisors (see below), whose sum is σ = 9967407912. Its totient is φ = 753131520.

The previous prime is 3000785903. The next prime is 3000785971. The reversal of 3000785940 is 495870003.

It can be written as a sum of positive squares in 4 ways, for example, as 996791184 + 2003994756 = 31572^2 + 44766^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3000785895 and 3000785904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26941 + ... + 82020.

Almost surely, 23000785940 is an apocalyptic number.

3000785940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3000785940 is an abundant number, since it is smaller than the sum of its proper divisors (6966621972).

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

3000785940 is a wasteful number, since it uses less digits than its factorization.

3000785940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108999 (or 108988 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3000785940 is about 54779.4298984573. The cubic root of 3000785940 is about 1442.3755061580.

The spelling of 3000785940 in words is "three billion, seven hundred eighty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 1020 1377 1530 1620 1836 2295 2754 3060 4590 5508 6885 9180 13770 27540 108961 217922 326883 435844 544805 653766 980649 1089610 1307532 1634415 1852337 1961298 2179220 2941947 3268830 3704674 3922596 4903245 5557011 5883894 6537660 7409348 8825841 9261685 9806490 11114022 11767788 14709735 16671033 17651682 18523370 19612980 22228044 27785055 29419470 33342066 35303364 37046740 44129205 50013099 55570110 58838940 66684132 83355165 88258410 100026198 111140220 150039297 166710330 176516820 200052396 250065495 300078594 333420660 500130990 600157188 750196485 1000261980 1500392970 3000785940