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823534530 = 2357133137263
BaseRepresentation
bin110001000101100…
…010001111000010
32010101121212222220
4301011202033002
53141311101110
6213415111510
726256633210
oct6105421702
92111555886
10823534530
11392955755
121ab972596
13101803050
147b533cb0
154c475370
hex311623c2

823534530 has 256 divisors, whose sum is σ = 2588737536. Its totient is φ = 162984960.

The previous prime is 823534529. The next prime is 823534541. The reversal of 823534530 is 35435328.

It is a junction number, because it is equal to n+sod(n) for n = 823534491 and 823534500.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3131179 + ... + 3131441.

It is an arithmetic number, because the mean of its divisors is an integer number (10112256).

Almost surely, 2823534530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823534530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294368768).

823534530 is an abundant number, since it is smaller than the sum of its proper divisors (1765203006).

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

823534530 is a wasteful number, since it uses less digits than its factorization.

823534530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361.

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 823534530 is about 28697.2913355947. The cubic root of 823534530 is about 937.3330660993. Note that the first 3 decimals are identical.

Adding to 823534530 its reverse (35435328), we get a palindrome (858969858).

The spelling of 823534530 in words is "eight hundred twenty-three million, five hundred thirty-four thousand, five hundred thirty".