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323340421240 = 23543715714637
BaseRepresentation
bin1001011010010001001…
…01110100100001111000
31010220121011001021111001
410231020211310201320
520244200121434430
6404312431214344
732234451142564
oct4551045644170
91126534037431
10323340421240
11115145269231
12527ba0773b4
132464c59c055
1411914d266a4
1586268143ca
hex4b48974878

323340421240 has 128 divisors (see below), whose sum is σ = 756405112320. Its totient is φ = 124304140800.

The previous prime is 323340421219. The next prime is 323340421267. The reversal of 323340421240 is 42124043323.

It is a junction number, because it is equal to n+sod(n) for n = 323340421199 and 323340421208.

It is a congruent number.

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, 69728202 + ... + 69732838.

It is an arithmetic number, because the mean of its divisors is an integer number (5909414940).

Almost surely, 2323340421240 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 323340421240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378202556160).

323340421240 is an abundant number, since it is smaller than the sum of its proper divisors (433064691080).

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

323340421240 is a wasteful number, since it uses less digits than its factorization.

323340421240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5333 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 323340421240 its reverse (42124043323), we get a palindrome (365464464563).

The spelling of 323340421240 in words is "three hundred twenty-three billion, three hundred forty million, four hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 71 86 142 172 215 284 344 355 430 568 571 710 860 1142 1420 1720 2284 2840 2855 3053 4568 4637 5710 6106 9274 11420 12212 15265 18548 22840 23185 24424 24553 30530 37096 40541 46370 49106 61060 81082 92740 98212 122120 122765 162164 185480 196424 199391 202705 245530 324328 329227 398782 405410 491060 658454 797564 810820 982120 996955 1316908 1595128 1621640 1646135 1743263 1993910 2633816 2647727 3292270 3486526 3987820 5295454 6584540 6973052 7975640 8716315 10590908 13169080 13238635 13946104 14156761 17432630 21181816 26477270 28313522 34865260 52954540 56627044 69730520 70783805 105909080 113254088 113852261 141567610 187988617 227704522 283135220 375977234 455409044 566270440 569261305 751954468 910818088 939943085 1138522610 1503908936 1879886170 2277045220 3759772340 4554090440 7519544680 8083510531 16167021062 32334042124 40417552655 64668084248 80835105310 161670210620 323340421240