| Base | Representation |
|---|---|
| bin | 111101101011111… |
| … | …001100000100000 |
| 3 | 2200010101021111100 |
| 4 | 331223321200200 |
| 5 | 4104414333140 |
| 6 | 250405514400 |
| 7 | 34434441261 |
| oct | 7553714040 |
| 9 | 2603337440 |
| 10 | 1034917920 |
| 11 | 491203173 |
| 12 | 24a712a00 |
| 13 | 13654478a |
| 14 | 9b63a968 |
| 15 | 60ccc530 |
| hex | 3daf9820 |
1034917920 has 144 divisors (see below), whose sum is σ = 3560094720. Its totient is φ = 273756672.
The previous prime is 1034917907. The next prime is 1034917921. The reversal of 1034917920 is 297194301.
1034917920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×10349179202 = 2142110202274252800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (1034917921) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180051 + ... + 185709.
It is an arithmetic number, because the mean of its divisors is an integer number (24722880).
Almost surely, 21034917920 is an apocalyptic number.
1034917920 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 1034917920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780047360).
1034917920 is an abundant number, since it is smaller than the sum of its proper divisors (2525176800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1034917920 is a wasteful number, since it uses less digits than its factorization.
1034917920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5807 (or 5796 counting only the distinct ones).
The product of its (nonzero) digits is 13608, while the sum is 36.
The square root of 1034917920 is about 32170.1401924207. The cubic root of 1034917920 is about 1011.5064015838.
The spelling of 1034917920 in words is "one billion, thirty-four million, nine hundred seventeen thousand, nine hundred twenty".
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