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3263306130 = 234573731543
BaseRepresentation
bin1100001010000010…
…0001100110010010
322102102111010110000
43002200201212102
523140401244010
61255451550430
7143603434020
oct30240414622
98372433400
103263306130
111425062217
12770a5b416
13400105596
1422d587710
151417557c0
hexc2821992

3263306130 has 160 divisors (see below), whose sum is σ = 10061593344. Its totient is φ = 743416704.

The previous prime is 3263306119. The next prime is 3263306143. The reversal of 3263306130 is 316033623.

3263306130 is a `hidden beast` number, since 326 + 3 + 306 + 1 + 30 = 666.

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 = 3263306094 and 3263306103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2114139 + ... + 2115681.

Almost surely, 23263306130 is an apocalyptic number.

3263306130 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 3263306130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030796672).

3263306130 is an abundant number, since it is smaller than the sum of its proper divisors (6798287214).

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

3263306130 is a wasteful number, since it uses less digits than its factorization.

3263306130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 3263306130 is about 57125.3545284403. The cubic root of 3263306130 is about 1483.2667871786.

Adding to 3263306130 its reverse (316033623), we get a palindrome (3579339753).

The spelling of 3263306130 in words is "three billion, two hundred sixty-three million, three hundred six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 373 378 405 567 630 746 810 945 1119 1134 1543 1865 1890 2238 2611 2835 3086 3357 3730 4629 5222 5595 5670 6714 7715 7833 9258 10071 10801 11190 13055 13887 15430 15666 16785 20142 21602 23145 23499 26110 27774 30213 32403 33570 39165 41661 46290 46998 50355 54005 60426 64806 69435 70497 78330 83322 97209 100710 108010 117495 124983 138870 140994 151065 162015 194418 208305 211491 234990 249966 291627 302130 324030 352485 416610 422982 486045 575539 583254 624915 704970 874881 972090 1057455 1151078 1249830 1458135 1726617 1749762 2114910 2877695 2916270 3453234 4028773 4374405 5179851 5755390 8057546 8633085 8748810 10359702 12086319 15539553 17266170 20143865 24172638 25899255 31079106 36258957 40287730 46618659 51798510 60431595 72517914 77697765 93237318 108776871 120863190 155395530 181294785 217553742 233093295 326330613 362589570 466186590 543884355 652661226 1087768710 1631653065 3263306130