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320031314334 = 233193746118287
BaseRepresentation
bin1001010100000110101…
…10100101000110011110
31010121001112101020012000
410222003112211012132
520220411004024314
6403004221423130
732056450200564
oct4520326450636
91117045336160
10320031314334
111137a7374236
1252035a0aaa6
1324242b4b824
14116bd659a34
1584d1063209
hex4a835a519e

320031314334 has 128 divisors (see below), whose sum is σ = 770553907200. Its totient is φ = 98112435840.

The previous prime is 320031314299. The next prime is 320031314389. The reversal of 320031314334 is 433413130023.

320031314334 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 313 + 14 + 334 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 320031314298 and 320031314307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17491339 + ... + 17509625.

It is an arithmetic number, because the mean of its divisors is an integer number (6019952400).

Almost surely, 2320031314334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320031314334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385276953600).

320031314334 is an abundant number, since it is smaller than the sum of its proper divisors (450522592866).

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

320031314334 is a wasteful number, since it uses less digits than its factorization.

320031314334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18815 (or 18809 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 320031314334 its reverse (433413130023), we get a palindrome (753444444357).

The spelling of 320031314334 in words is "three hundred twenty billion, thirty-one million, three hundred fourteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 111 114 171 222 333 342 461 513 666 703 922 999 1026 1383 1406 1998 2109 2766 4149 4218 6327 8298 8759 12447 12654 17057 17518 18287 18981 24894 26277 34114 36574 37962 51171 52554 54861 78831 102342 109722 153513 157662 164583 236493 307026 324083 329166 347453 460539 472986 493749 648166 676619 694906 921078 972249 987498 1042359 1353238 1944498 2029857 2084718 2916747 3127077 4059714 5833494 6089571 6254154 8430307 8750241 9381231 12179142 12855761 16860614 17500482 18268713 18762462 25290921 25711522 36537426 38567283 50581842 75872763 77134566 115701849 151745526 160175833 227618289 231403698 311921359 320351666 347105547 455236578 480527499 623842718 694211094 935764077 961054998 1441582497 1871528154 2807292231 2883164994 4324747491 5614584462 5926505821 8421876693 8649494982 11853011642 16843753386 17779517463 35559034926 53338552389 106677104778 160015657167 320031314334