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821809341 = 33211144253
BaseRepresentation
bin110000111110111…
…101000010111101
32010021101020111000
4300332331002331
53140340344331
6213314120513
726236156413
oct6076750275
92107336430
10821809341
11391987581
121ab280139
1310134aa22
147b2052b3
154c2340e6
hex30fbd0bd

821809341 has 16 divisors (see below), whose sum is σ = 1223273920. Its totient is φ = 545272560.

The previous prime is 821809333. The next prime is 821809363. The reversal of 821809341 is 143908128.

It is not a de Polignac number, because 821809341 - 23 = 821809333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 821809296 and 821809305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821804341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66430 + ... + 77823.

It is an arithmetic number, because the mean of its divisors is an integer number (76454620).

Almost surely, 2821809341 is an apocalyptic number.

It is an amenable number.

821809341 is a deficient number, since it is larger than the sum of its proper divisors (401464579).

821809341 is a wasteful number, since it uses less digits than its factorization.

821809341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144473 (or 144467 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 821809341 is about 28667.2171826984. The cubic root of 821809341 is about 936.6780815440.

The spelling of 821809341 in words is "eight hundred twenty-one million, eight hundred nine thousand, three hundred forty-one".

Divisors: 1 3 9 27 211 633 1899 5697 144253 432759 1298277 3894831 30437383 91312149 273936447 821809341