| Base | Representation |
|---|---|
| bin | 111101101000011… |
| … | …100000101111000 |
| 3 | 2200001200012102201 |
| 4 | 331220130011320 |
| 5 | 4104201323000 |
| 6 | 250334235544 |
| 7 | 34423643221 |
| oct | 7550340570 |
| 9 | 2601605381 |
| 10 | 1034011000 |
| 11 | 490743850 |
| 12 | 24a355bb4 |
| 13 | 1362b7a39 |
| 14 | 9b482248 |
| 15 | 60b9d96a |
| hex | 3da1c178 |
1034011000 has 256 divisors, whose sum is σ = 2841246720. Its totient is φ = 348480000.
The previous prime is 1034010961. The next prime is 1034011001. The reversal of 1034011000 is 1104301.
It is a happy number.
1034011000 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 (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1034011001) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15432967 + ... + 15433033.
It is an arithmetic number, because the mean of its divisors is an integer number (11098620).
Almost surely, 21034011000 is an apocalyptic number.
1034011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1034011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420623360).
1034011000 is an abundant number, since it is smaller than the sum of its proper divisors (1807235720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1034011000 is a wasteful number, since it uses less digits than its factorization.
1034011000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 183 (or 169 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 10.
The square root of 1034011000 is about 32156.0414230359. The cubic root of 1034011000 is about 1011.2108472330.
Adding to 1034011000 its reverse (1104301), we get a palindrome (1035115301).
It can be divided in two parts, 103401 and 1000, that added together give a palindrome (104401).
The spelling of 1034011000 in words is "one billion, thirty-four million, eleven thousand".
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