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3002830020 = 22325178091213
BaseRepresentation
bin1011001011111011…
…1000110011000100
321202021100120101200
42302332320303010
522122211030040
61213545022500
7134261430321
oct26276706304
97667316350
103002830020
111301023703
126b9784a30
1338b1656c8
14206b41b48
15128952630
hexb2fb8cc4

3002830020 has 144 divisors (see below), whose sum is σ = 9664265520. Its totient is φ = 752099328.

The previous prime is 3002830009. The next prime is 3002830031. The reversal of 3002830020 is 200382003.

It is an interprime number because it is at equal distance from previous prime (3002830009) and next prime (3002830031).

It can be written as a sum of positive squares in 8 ways, for example, as 9216 + 3002820804 = 96^2 + 54798^2 .

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 = 3002829975 and 3002830002.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2474934 + ... + 2476146.

It is an arithmetic number, because the mean of its divisors is an integer number (67112955).

Almost surely, 23002830020 is an apocalyptic number.

3002830020 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 3002830020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4832132760).

3002830020 is an abundant number, since it is smaller than the sum of its proper divisors (6661435500).

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

3002830020 is a wasteful number, since it uses less digits than its factorization.

3002830020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3002830020 is about 54798.0840905957. The cubic root of 3002830020 is about 1442.7029383471.

The spelling of 3002830020 in words is "three billion, two million, eight hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 809 1020 1213 1530 1618 2426 2427 3060 3236 3639 4045 4852 4854 6065 7278 7281 8090 9708 10917 12130 12135 13753 14556 14562 16180 18195 20621 21834 24260 24270 27506 29124 36390 36405 41242 41259 43668 48540 54585 55012 61863 68765 72780 72810 82484 82518 103105 109170 123726 123777 137530 145620 165036 185589 206210 206295 218340 247452 247554 275060 309315 371178 412420 412590 495108 618630 618885 742356 825180 927945 981317 1237260 1237770 1855890 1962634 2475540 2943951 3711780 3925268 4906585 5887902 8831853 9813170 11775804 14719755 16682389 17663706 19626340 29439510 33364778 35327412 44159265 50047167 58879020 66729556 83411945 88318530 100094334 150141501 166823890 176637060 200188668 250235835 300283002 333647780 500471670 600566004 750707505 1000943340 1501415010 3002830020