Base | Representation |
---|---|
bin | 110001000101010… |
… | …000001001000000 |
3 | 2010101111010022221 |
4 | 301011100021000 |
5 | 3141301213131 |
6 | 213413340424 |
7 | 26256204142 |
oct | 6105201100 |
9 | 2111433287 |
10 | 823460416 |
11 | 392904aa9 |
12 | 1ab937714 |
13 | 1017a83ac |
14 | 7b514c92 |
15 | 4c45d411 |
hex | 31150240 |
823460416 has 63 divisors (see below), whose sum is σ = 1744094937. Its totient is φ = 385674240.
The previous prime is 823460387. The next prime is 823460431. The reversal of 823460416 is 614064328.
The square root of 823460416 is 28696.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 641102400 + 182358016 = 25320^2 + 13504^2 .
It is a Harshad number since it is a multiple of its sum of digits (34).
It is a Duffinian number.
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3902551 + ... + 3902761.
Almost surely, 2823460416 is an apocalyptic number.
823460416 is the 28696-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 823460416
823460416 is an abundant number, since it is smaller than the sum of its proper divisors (920634521).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
823460416 is an equidigital number, since it uses as much as digits as its factorization.
823460416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 468 (or 230 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 34.
The cubic root of 823460416 is about 937.3049468222.
The spelling of 823460416 in words is "eight hundred twenty-three million, four hundred sixty thousand, four hundred sixteen".
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