Search a number
-
+
3023263620 = 22325139411373
BaseRepresentation
bin1011010000110011…
…0101011110000100
321210200210201000200
42310030311132010
522142423413440
61215555010500
7134630213436
oct26414653604
97720721020
103023263620
11131160a783
12704599a30
1339246b2b0
14209740656
1512a63bc30
hexb4335784

3023263620 has 144 divisors (see below), whose sum is σ = 9893690352. Its totient is φ = 742855680.

The previous prime is 3023263609. The next prime is 3023263657. The reversal of 3023263620 is 263623203.

3023263620 is a `hidden beast` number, since 3 + 0 + 2 + 3 + 2 + 636 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 53231616 + 2970032004 = 7296^2 + 54498^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2201254 + ... + 2202626.

It is an arithmetic number, because the mean of its divisors is an integer number (68706183).

Almost surely, 23023263620 is an apocalyptic number.

3023263620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3023263620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946845176).

3023263620 is an abundant number, since it is smaller than the sum of its proper divisors (6870426732).

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

3023263620 is a wasteful number, since it uses less digits than its factorization.

3023263620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 3023263620 is about 54984.2124613966. The cubic root of 3023263620 is about 1445.9679693094.

Adding to 3023263620 its reverse (263623203), we get a palindrome (3286886823).

The spelling of 3023263620 in words is "three billion, twenty-three million, two hundred sixty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 941 1170 1373 1882 2340 2746 2823 3764 4119 4705 5492 5646 6865 8238 8469 9410 11292 12233 12357 13730 14115 16476 16938 17849 18820 20595 24466 24714 27460 28230 33876 35698 36699 41190 42345 48932 49428 53547 56460 61165 61785 71396 73398 82380 84690 89245 107094 110097 122330 123570 146796 160641 169380 178490 183495 214188 220194 244660 247140 267735 321282 356980 366990 440388 535470 550485 642564 733980 803205 1070940 1100970 1291993 1606410 2201940 2583986 3212820 3875979 5167972 6459965 7751958 11627937 12919930 15503916 16795909 19379895 23255874 25839860 33591818 38759790 46511748 50387727 58139685 67183636 77519580 83979545 100775454 116279370 151163181 167959090 201550908 232558740 251938635 302326362 335918180 503877270 604652724 755815905 1007754540 1511631810 3023263620