Search a number
-
+
320243550330 = 235113747875479
BaseRepresentation
bin1001010100100000000…
…00001100100001111010
31010121121022201221020110
410222100000030201322
520221324322102310
6403041242405150
732064635156454
oct4522000144172
91117538657213
10320243550330
111138a6154290
1252094b007b6
1324277acb362
14116dd9052d4
1584e49d7d20
hex4a9000c87a

320243550330 has 128 divisors (see below), whose sum is σ = 861453895680. Its totient is φ = 75506999040.

The previous prime is 320243550311. The next prime is 320243550343. The reversal of 320243550330 is 33055342023.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58446531 + ... + 58452009.

It is an arithmetic number, because the mean of its divisors is an integer number (6730108560).

Almost surely, 2320243550330 is an apocalyptic number.

320243550330 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 320243550330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430726947840).

320243550330 is an abundant number, since it is smaller than the sum of its proper divisors (541210345350).

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

320243550330 is a wasteful number, since it uses less digits than its factorization.

320243550330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10324.

The product of its (nonzero) digits is 32400, while the sum is 30.

Adding to 320243550330 its reverse (33055342023), we get a palindrome (353298892353).

The spelling of 320243550330 in words is "three hundred twenty billion, two hundred forty-three million, five hundred fifty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 4787 5479 6105 9574 10958 12210 14361 16437 23935 27395 28722 32874 47870 52657 54790 60269 71805 82185 105314 120538 143610 157971 164370 177119 180807 202723 263285 301345 315942 354238 361614 405446 526570 531357 602690 608169 789855 885595 904035 1013615 1062714 1216338 1579710 1771190 1808070 1948309 2027230 2229953 2656785 3040845 3896618 4459906 5313570 5844927 6081690 6689859 9741545 11149765 11689854 13379718 19483090 22299530 26227973 29224635 33449295 52455946 58449270 66898590 78683919 131139865 157367838 262279730 288507703 393419595 577015406 786839190 865523109 970435001 1442538515 1731046218 1940870002 2885077030 2911305003 4327615545 4852175005 5822610006 8655231090 9704350010 10674785011 14556525015 21349570022 29113050030 32024355033 53373925055 64048710066 106747850110 160121775165 320243550330