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3021680538 = 234172233277
BaseRepresentation
bin1011010000011011…
…0010111110011010
321210120211021110000
42310012302332122
522142022234123
61215501033430
7134610601152
oct26406627632
97716737400
103021680538
111310729348
12703b55876
13392035866
1420944b762
1512a427b43
hexb41b2f9a

3021680538 has 120 divisors (see below), whose sum is σ = 7249459932. Its totient is φ = 940502016.

The previous prime is 3021680537. The next prime is 3021680587. The reversal of 3021680538 is 8350861203.

3021680538 is a `hidden beast` number, since 30 + 2 + 16 + 80 + 538 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1383616809 + 1638063729 = 37197^2 + 40473^2 .

It is not an unprimeable number, because it can be changed into a prime (3021680531) 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 59 ways as a sum of consecutive naturals, for example, 10908456 + ... + 10908732.

Almost surely, 23021680538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3021680538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624729966).

3021680538 is an abundant number, since it is smaller than the sum of its proper divisors (4227779394).

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

3021680538 is a wasteful number, since it uses less digits than its factorization.

3021680538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3021680538 is about 54969.8147895734. The cubic root of 3021680538 is about 1445.7155395054.

The spelling of 3021680538 in words is "three billion, twenty-one million, six hundred eighty thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 233 277 289 306 459 466 554 578 699 831 867 918 1377 1398 1662 1734 2097 2493 2601 2754 3961 4194 4709 4986 5202 6291 7479 7803 7922 9418 11883 12582 14127 14958 15606 18873 22437 23409 23766 28254 35649 37746 42381 44874 46818 64541 67337 71298 80053 84762 106947 127143 129082 134674 160106 193623 202011 213894 240159 254286 320841 381429 387246 404022 480318 580869 606033 641682 720477 762858 1097197 1161738 1212066 1440954 1742607 1818099 2161431 2194394 3291591 3485214 3636198 4322862 5227821 5454297 6484293 6583182 9874773 10455642 10908594 12968586 18652349 19749546 29624319 37304698 55957047 59248638 88872957 111914094 167871141 177745914 335742282 503613423 1007226846 1510840269 3021680538