Base | Representation |
---|---|
bin | 111100111110100… |
… | …001011110111010 |
3 | 2122021222221210000 |
4 | 330332201132322 |
5 | 4043343214114 |
6 | 245302533430 |
7 | 34231360305 |
oct | 7476413672 |
9 | 2567887700 |
10 | 1023023034 |
11 | 485519390 |
12 | 246737276 |
13 | 133c3b597 |
14 | 99c21b3c |
15 | 5ec2ce09 |
hex | 3cfa17ba |
1023023034 has 80 divisors (see below), whose sum is σ = 2509996896. Its totient is φ = 308858400.
The previous prime is 1023023011. The next prime is 1023023051. The reversal of 1023023034 is 4303203201.
It is a super-2 number, since 2×10230230342 = 2093152256189130312, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 1023022998 and 1023023016.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 563989 + ... + 565799.
Almost surely, 21023023034 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1023023034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254998448).
1023023034 is an abundant number, since it is smaller than the sum of its proper divisors (1486973862).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023023034 is a wasteful number, since it uses less digits than its factorization.
1023023034 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2153 (or 2144 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 1023023034 is about 31984.7312635264. The cubic root of 1023023034 is about 1007.6161910382.
Adding to 1023023034 its reverse (4303203201), we get a palindrome (5326226235).
The spelling of 1023023034 in words is "one billion, twenty-three million, twenty-three thousand, thirty-four".
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