Base | Representation |
---|---|
bin | 111100111110100… |
… | …100001010101000 |
3 | 2122022000111212001 |
4 | 330332210022220 |
5 | 4043344042044 |
6 | 245303100344 |
7 | 34231434325 |
oct | 7476441250 |
9 | 2568014761 |
10 | 1023034024 |
11 | 485526671 |
12 | 2467416b4 |
13 | 133c4359c |
14 | 99c25b4c |
15 | 5ec312d4 |
hex | 3cfa42a8 |
1023034024 has 64 divisors (see below), whose sum is σ = 2144836800. Its totient is φ = 454616064.
The previous prime is 1023034021. The next prime is 1023034079. The reversal of 1023034024 is 4204303201.
1023034024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×10230340242 = 2093197228523265152, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (19).
It is a junction number, because it is equal to n+sod(n) for n = 1023033992 and 1023034010.
It is not an unprimeable number, because it can be changed into a prime (1023034021) 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, 1351054 + ... + 1351810.
It is an arithmetic number, because the mean of its divisors is an integer number (33513075).
Almost surely, 21023034024 is an apocalyptic number.
It is an amenable number.
1023034024 is an abundant number, since it is smaller than the sum of its proper divisors (1121802776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023034024 is a wasteful number, since it uses less digits than its factorization.
1023034024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1322 (or 1318 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 19.
The square root of 1023034024 is about 31984.9030637893. The cubic root of 1023034024 is about 1007.6197991884.
Adding to 1023034024 its reverse (4204303201), we get a palindrome (5227337225).
The spelling of 1023034024 in words is "one billion, twenty-three million, thirty-four thousand, twenty-four".
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