Base | Representation |
---|---|
bin | 111100111111100… |
… | …100000101010000 |
3 | 2122022111210222100 |
4 | 330333210011100 |
5 | 4043430431244 |
6 | 245312440400 |
7 | 34233604515 |
oct | 7477440520 |
9 | 2568453870 |
10 | 1023295824 |
11 | 485695331 |
12 | 246849100 |
13 | 1340057b5 |
14 | 99c9330c |
15 | 5ec83b69 |
hex | 3cfe4150 |
1023295824 has 180 divisors, whose sum is σ = 3095994304. Its totient is φ = 315380736.
The previous prime is 1023295799. The next prime is 1023295853. The reversal of 1023295824 is 4285923201.
It is a happy number.
1023295824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2788089 + ... + 2788455.
Almost surely, 21023295824 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1023295824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547997152).
1023295824 is an abundant number, since it is smaller than the sum of its proper divisors (2072698480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023295824 is a wasteful number, since it uses less digits than its factorization.
1023295824 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 482 (or 456 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The square root of 1023295824 is about 31988.9953577789. The cubic root of 1023295824 is about 1007.7057436628.
The spelling of 1023295824 in words is "one billion, twenty-three million, two hundred ninety-five thousand, eight hundred twenty-four".
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