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3001333140 = 22325131319791
BaseRepresentation
bin1011001011100100…
…1011010110010100
321202011112112001200
42302321023112110
522121320130030
61213452552500
7134242624251
oct26271132624
97664475050
103001333140
1113001a1013
126b9182730
1338aa60290
14206872428
15128758d60
hexb2e4b594

3001333140 has 144 divisors (see below), whose sum is σ = 9880206336. Its totient is φ = 733075200.

The previous prime is 3001333133. The next prime is 3001333141. The reversal of 3001333140 is 413331003.

3001333140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×30013331403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001333141) 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, 301645 + ... + 311435.

It is an arithmetic number, because the mean of its divisors is an integer number (68612544).

Almost surely, 23001333140 is an apocalyptic number.

3001333140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001333140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940103168).

3001333140 is an abundant number, since it is smaller than the sum of its proper divisors (6878873196).

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

3001333140 is a wasteful number, since it uses less digits than its factorization.

3001333140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9950 (or 9945 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3001333140 is about 54784.4242463129. The cubic root of 3001333140 is about 1442.4631742914.

Adding to 3001333140 its reverse (413331003), we get a palindrome (3414664143).

The spelling of 3001333140 in words is "three billion, one million, three hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 131 156 180 195 234 260 262 390 393 468 524 585 655 780 786 1170 1179 1310 1572 1703 1965 2340 2358 2620 3406 3930 4716 5109 5895 6812 7860 8515 9791 10218 11790 15327 17030 19582 20436 23580 25545 29373 30654 34060 39164 48955 51090 58746 61308 76635 88119 97910 102180 117492 127283 146865 153270 176238 195820 254566 293730 306540 352476 381849 440595 509132 587460 636415 763698 881190 1145547 1272830 1282621 1527396 1762380 1909245 2291094 2545660 2565242 3818490 3847863 4582188 5130484 5727735 6413105 7636980 7695726 11455470 11543589 12826210 15391452 16674073 19239315 22910940 23087178 25652420 33348146 38478630 46174356 50022219 57717945 66696292 76957260 83370365 100044438 115435890 150066657 166740730 200088876 230871780 250111095 300133314 333481460 500222190 600266628 750333285 1000444380 1500666570 3001333140