Base | Representation |
---|---|
bin | 111101101000110… |
… | …110101101000000 |
3 | 2200001212201221202 |
4 | 331220312231000 |
5 | 4104213320000 |
6 | 250340440332 |
7 | 34424606054 |
oct | 7550665500 |
9 | 2601781852 |
10 | 1034120000 |
11 | 490808731 |
12 | 24a3a90a8 |
13 | 136325534 |
14 | 9b4adc64 |
15 | 60bc0dd5 |
hex | 3da36b40 |
1034120000 has 140 divisors (see below), whose sum is σ = 2599492896. Its totient is φ = 408000000.
The previous prime is 1034119987. The next prime is 1034120023. The reversal of 1034120000 is 214301.
It is a happy number.
1034120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4119875 + ... + 4120125.
Almost surely, 21034120000 is an apocalyptic number.
1034120000 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 1034120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299746448).
1034120000 is an abundant number, since it is smaller than the sum of its proper divisors (1565372896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1034120000 is an equidigital number, since it uses as much as digits as its factorization.
1034120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 386 (or 361 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 11.
The square root of 1034120000 is about 32157.7362387342. The cubic root of 1034120000 is about 1011.2463781605.
Adding to 1034120000 its reverse (214301), we get a palindrome (1034334301).
It can be divided in two parts, 103 and 4120000, that multiplied together give a square (424360000 = 206002).
The spelling of 1034120000 in words is "one billion, thirty-four million, one hundred twenty thousand".
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