Search a number
-
+
324344031144 = 233729139478943
BaseRepresentation
bin1001011100001000110…
…10010010011110101000
31011000012002111221110020
410232010122102132220
520303224032444034
6405000202120440
732301355530150
oct4560432223650
91130162457406
10324344031144
1111560a828201
1252a3a1b0120
132477c4a1373
14119ac333760
1586849aa249
hex4b846927a8

324344031144 has 128 divisors (see below), whose sum is σ = 965551104000. Its totient is φ = 88830330624.

The previous prime is 324344031061. The next prime is 324344031191. The reversal of 324344031144 is 441130443423.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 437737 + ... + 916679.

It is an arithmetic number, because the mean of its divisors is an integer number (7543368000).

Almost surely, 2324344031144 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 324344031144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482775552000).

324344031144 is an abundant number, since it is smaller than the sum of its proper divisors (641207072856).

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

324344031144 is a wasteful number, since it uses less digits than its factorization.

324344031144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479127 (or 479123 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 324344031144 its reverse (441130443423), we get a palindrome (765474474567).

The spelling of 324344031144 in words is "three hundred twenty-four billion, three hundred forty-four million, thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 139 168 174 203 232 278 348 406 417 556 609 696 812 834 973 1112 1218 1624 1668 1946 2436 2919 3336 3892 4031 4872 5838 7784 8062 11676 12093 16124 23352 24186 28217 32248 48372 56434 84651 96744 112868 169302 225736 338604 478943 677208 957886 1436829 1915772 2873658 3352601 3831544 5747316 6705202 10057803 11494632 13410404 13889347 20115606 26820808 27778694 40231212 41668041 55557388 66573077 80462424 83336082 97225429 111114776 133146154 166672164 194450858 199719231 266292308 291676287 333344328 388901716 399438462 466011539 532584616 583352574 777803432 798876924 932023078 1166705148 1398034617 1597753848 1864046156 1930619233 2333410296 2796069234 3728092312 3861238466 5592138468 5791857699 7722476932 11184276936 11583715398 13514334631 15444953864 23167430796 27028669262 40543003893 46334861592 54057338524 81086007786 108114677048 162172015572 324344031144