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324034003120 = 24537359304933
BaseRepresentation
bin1001011011100011110…
…11101000000010110000
31010222101111010212221211
410231301323220002300
520302110201044440
6404505325125504
732260602403312
oct4556173500260
91128344125854
10324034003120
111154708245a3
12529723b9894
13247301a2029
141197d0ad7b2
158667669eea
hex4b71ee80b0

324034003120 has 80 divisors (see below), whose sum is σ = 775898464320. Its totient is φ = 125758835712.

The previous prime is 324034003103. The next prime is 324034003159. The reversal of 324034003120 is 21300430423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 324034003091 and 324034003100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 910174 + ... + 1215106.

It is an arithmetic number, because the mean of its divisors is an integer number (9698730804).

Almost surely, 2324034003120 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 324034003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387949232160).

324034003120 is an abundant number, since it is smaller than the sum of its proper divisors (451864461200).

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

324034003120 is a wasteful number, since it uses less digits than its factorization.

324034003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305342 (or 305336 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 324034003120 its reverse (21300430423), we get a palindrome (345334433543).

The spelling of 324034003120 in words is "three hundred twenty-four billion, thirty-four million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 359 370 592 718 740 1436 1480 1795 2872 2960 3590 5744 7180 13283 14360 26566 28720 53132 66415 106264 132830 212528 265660 304933 531320 609866 1062640 1219732 1524665 2439464 3049330 4878928 6098660 11282521 12197320 22565042 24394640 45130084 56412605 90260168 109470947 112825210 180520336 218941894 225650420 437883788 451300840 547354735 875767576 902601680 1094709470 1751535152 2189418940 4050425039 4378837880 8100850078 8757675760 16201700156 20252125195 32403400312 40504250390 64806800624 81008500780 162017001560 324034003120