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3030323220 = 22325163179577
BaseRepresentation
bin1011010010011111…
…0001000000010100
321211012002100222100
42310213301000110
522201230320340
61220410202100
7135044215401
oct26447610024
97735070870
103030323220
1113155a1761
12706a23330
13393a70682
1420a65b2a8
1512b083830
hexb49f1014

3030323220 has 144 divisors (see below), whose sum is σ = 9316157760. Its totient is φ = 797257728.

The previous prime is 3030323213. The next prime is 3030323269. The reversal of 3030323220 is 223230303.

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

It is a junction number, because it is equal to n+sod(n) for n = 3030323193 and 3030323202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5251572 + ... + 5252148.

It is an arithmetic number, because the mean of its divisors is an integer number (64695540).

Almost surely, 23030323220 is an apocalyptic number.

3030323220 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 3030323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658078880).

3030323220 is an abundant number, since it is smaller than the sum of its proper divisors (6285834540).

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

3030323220 is a wasteful number, since it uses less digits than its factorization.

3030323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 3030323220 is about 55048.3716380421. The cubic root of 3030323220 is about 1447.0925840241.

Adding to 3030323220 its reverse (223230303), we get a palindrome (3253553523).

The spelling of 3030323220 in words is "three billion, thirty million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 163 179 180 326 358 489 537 577 652 716 815 895 978 1074 1154 1467 1611 1630 1731 1790 1956 2148 2308 2445 2685 2885 2934 3222 3260 3462 3580 4890 5193 5370 5770 5868 6444 6924 7335 8055 8655 9780 10386 10740 11540 14670 16110 17310 20772 25965 29177 29340 32220 34620 51930 58354 87531 94051 103283 103860 116708 145885 175062 188102 206566 262593 282153 291770 309849 350124 376204 413132 437655 470255 516415 525186 564306 583540 619698 846459 875310 929547 940510 1032830 1050372 1128612 1239396 1312965 1410765 1549245 1692918 1750620 1859094 1881020 2065660 2625930 2821530 3098490 3385836 3718188 4232295 4647735 5251860 5643060 6196980 8464590 9295470 16835129 16929180 18590940 33670258 50505387 67340516 84175645 101010774 151516161 168351290 202021548 252526935 303032322 336702580 505053870 606064644 757580805 1010107740 1515161610 3030323220