Search a number
-
+
3315023052 = 22311172671297
BaseRepresentation
bin1100010110010111…
…0011110011001100
322120000210121201120
43011211303303030
523242121214202
61304540240540
7145102142145
oct30545636314
98500717646
103315023052
111451275980
12786240150
1340aa42303
142363aaacc
1514606e0bc
hexc5973ccc

3315023052 has 144 divisors (see below), whose sum is σ = 9104608128. Its totient is φ = 930631680.

The previous prime is 3315023027. The next prime is 3315023053. The reversal of 3315023052 is 2503205133.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3315023053) by changing a digit.

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, 2555268 + ... + 2556564.

Almost surely, 23315023052 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 3315023052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4552304064).

3315023052 is an abundant number, since it is smaller than the sum of its proper divisors (5789585076).

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

3315023052 is a wasteful number, since it uses less digits than its factorization.

3315023052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 3315023052 is about 57576.2368690417. The cubic root of 3315023052 is about 1491.0613659085.

Adding to 3315023052 its reverse (2503205133), we get a palindrome (5818228185).

The spelling of 3315023052 in words is "three billion, three hundred fifteen million, twenty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 67 68 102 132 134 187 201 204 268 289 374 402 561 578 737 748 804 867 1122 1139 1156 1297 1474 1734 2211 2244 2278 2594 2948 3179 3417 3468 3891 4422 4556 5188 6358 6834 7782 8844 9537 12529 12716 13668 14267 15564 19074 19363 22049 25058 28534 37587 38148 38726 42801 44098 50116 57068 58089 66147 75174 77452 85602 86899 88196 116178 132294 150348 171204 173798 212993 232356 242539 260697 264588 347596 374833 425986 485078 521394 638979 727617 749666 851972 955889 970156 1042788 1124499 1277958 1455234 1477283 1499332 1911778 2248998 2555916 2867667 2910468 2954566 3823556 4123163 4431849 4497996 5735334 5909132 8246326 8863698 11470668 12369489 16250113 16492652 17727396 24738978 25113811 32500226 48750339 49477956 50227622 65000452 75341433 97500678 100455244 150682866 195001356 276251921 301365732 552503842 828755763 1105007684 1657511526 3315023052