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3053805030 = 2335175211277
BaseRepresentation
bin1011011000000101…
…0101110111100110
321212211021100222000
42312001111313212
522223233230110
61223005350130
7135450625443
oct26601256746
97784240860
103053805030
11132787aa11
12712868346
133988a2833
1420d8109ca
1512d1711c0
hexb6055de6

3053805030 has 128 divisors (see below), whose sum is σ = 8645823360. Its totient is φ = 764375040.

The previous prime is 3053805023. The next prime is 3053805061. The reversal of 3053805030 is 305083503.

3053805030 is a `hidden beast` number, since 30 + 53 + 80 + 503 + 0 = 666.

It is a super-2 number, since 2×30538050302 = 18651450322506601800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3053804985 and 3053805003.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2390752 + ... + 2392028.

It is an arithmetic number, because the mean of its divisors is an integer number (67545495).

Almost surely, 23053805030 is an apocalyptic number.

3053805030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3053805030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322911680).

3053805030 is an abundant number, since it is smaller than the sum of its proper divisors (5592018330).

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

3053805030 is a wasteful number, since it uses less digits than its factorization.

3053805030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3053805030 is about 55261.2434713516. The cubic root of 3053805030 is about 1450.8207846067.

Adding to 3053805030 its reverse (305083503), we get a palindrome (3358888533).

The spelling of 3053805030 in words is "three billion, fifty-three million, eight hundred five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 521 765 918 1042 1277 1530 1563 2295 2554 2605 3126 3831 4590 4689 5210 6385 7662 7815 8857 9378 11493 12770 14067 15630 17714 19155 21709 22986 23445 26571 28134 34479 38310 43418 44285 46890 53142 57465 65127 68958 70335 79713 88570 108545 114930 130254 132855 140670 159426 172395 195381 217090 239139 265710 325635 344790 390762 398565 478278 586143 651270 665317 797130 976905 1172286 1195695 1330634 1953810 1995951 2391390 2930715 3326585 3991902 5861430 5987853 6653170 9979755 11310389 11975706 17963559 19959510 22620778 29939265 33931167 35927118 56551945 59878530 67862334 89817795 101793501 113103890 169655835 179635590 203587002 305380503 339311670 508967505 610761006 1017935010 1526902515 3053805030