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282328350340 = 2251719311817789
BaseRepresentation
bin1000001101111000001…
…01001011111010000100
3222222201221121012201011
410012330011023322010
514111202024202330
6333411100212004
726253234245011
oct4067405137204
9888657535634
10282328350340
11a9809aa2363
124687323a004
132081494428a
14d944188708
15752606482a
hex41bc14be84

282328350340 has 192 divisors, whose sum is σ = 685978675200. Its totient is φ = 96895180800.

The previous prime is 282328350299. The next prime is 282328350427. The reversal of 282328350340 is 43053823282.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 282328350293 and 282328350302.

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 63 ways as a sum of consecutive naturals, for example, 36243166 + ... + 36250954.

It is an arithmetic number, because the mean of its divisors is an integer number (3572805600).

Almost surely, 2282328350340 is an apocalyptic number.

282328350340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282328350340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342989337600).

282328350340 is an abundant number, since it is smaller than the sum of its proper divisors (403650324860).

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

282328350340 is a wasteful number, since it uses less digits than its factorization.

282328350340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8046 (or 8044 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 282328350340 in words is "two hundred eighty-two billion, three hundred twenty-eight million, three hundred fifty thousand, three hundred forty".