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3233411020 = 225721032311
BaseRepresentation
bin1100000010111001…
…1110111111001100
322100100020022001201
43000232132333030
523110223123040
61252503115244
7143061353200
oct30056367714
98310208051
103233411020
11140a1a3614
12762a42b24
133c6b69278
14229604b00
1513dceca9a
hexc0b9efcc

3233411020 has 108 divisors (see below), whose sum is σ = 8001839664. Its totient is φ = 1094304960.

The previous prime is 3233411009. The next prime is 3233411141. The reversal of 3233411020 is 201143323.

It is a super-3 number, since 3×32334110203 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10396665 + ... + 10396975.

It is an arithmetic number, because the mean of its divisors is an integer number (74091108).

Almost surely, 23233411020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3233411020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000919832).

3233411020 is an abundant number, since it is smaller than the sum of its proper divisors (4768428644).

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

3233411020 is a wasteful number, since it uses less digits than its factorization.

3233411020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3233411020 is about 56863.0901376279. The cubic root of 3233411020 is about 1478.7234884315.

Adding to 3233411020 its reverse (201143323), we get a palindrome (3434554343).

The spelling of 3233411020 in words is "three billion, two hundred thirty-three million, four hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 103 140 196 206 245 311 412 490 515 622 721 980 1030 1244 1442 1555 2060 2177 2884 3110 3605 4354 5047 6220 7210 8708 10094 10609 10885 14420 15239 20188 21218 21770 25235 30478 32033 42436 43540 50470 53045 60956 64066 74263 76195 100940 106090 128132 148526 152390 160165 212180 224231 297052 304780 320330 371315 448462 519841 640660 742630 896924 1039682 1121155 1485260 1569617 2079364 2242310 2599205 3139234 3299399 4484620 5198410 6278468 6598798 7848085 10396820 13197596 15696170 16496995 23095793 31392340 32993990 46191586 65987980 92383172 115478965 161670551 230957930 323341102 461915860 646682204 808352755 1616705510 3233411020