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320320224342 = 232157284339869
BaseRepresentation
bin1001010100101001001…
…00101011110001010110
31010121210200000101012200
410222110210223301112
520222003434134332
6403053022025330
732066555661036
oct4522444536126
91117720011180
10320320224342
11113935463638
12520b6718246
132428a9658b1
1411709b838c6
1584eb5d117c
hex4a9492bc56

320320224342 has 48 divisors (see below), whose sum is σ = 698710905360. Its totient is φ = 106053345216.

The previous prime is 320320224281. The next prime is 320320224361. The reversal of 320320224342 is 243422023023.

It is a happy number.

320320224342 is a `hidden beast` number, since 3 + 20 + 3 + 202 + 2 + 434 + 2 = 666.

It is a super-2 number, since 2×3203202243422 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8014384 + ... + 8054252.

It is an arithmetic number, because the mean of its divisors is an integer number (14556477195).

Almost surely, 2320320224342 is an apocalyptic number.

320320224342 is an abundant number, since it is smaller than the sum of its proper divisors (378390681018).

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

320320224342 is a wasteful number, since it uses less digits than its factorization.

320320224342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42877 (or 42874 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 320320224342 its reverse (243422023023), we get a palindrome (563742247365).

The spelling of 320320224342 in words is "three hundred twenty billion, three hundred twenty million, two hundred twenty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 157 314 471 942 1413 2826 2843 5686 8529 17058 25587 39869 51174 79738 119607 239214 358821 446351 717642 892702 1339053 2678106 4017159 6259433 8034318 12518866 18778299 37556598 56334897 112669794 113347567 226695134 340042701 680085402 1020128103 2040256206 17795568019 35591136038 53386704057 106773408114 160160112171 320320224342