| Base | Representation |
|---|---|
| bin | 111101101011101… |
| … | …100100000000000 |
| 3 | 2200010021120102000 |
| 4 | 331223230200000 |
| 5 | 4104411132030 |
| 6 | 250404424000 |
| 7 | 34434130035 |
| oct | 7553544000 |
| 9 | 2603246360 |
| 10 | 1034864640 |
| 11 | 491177137 |
| 12 | 24a6a8000 |
| 13 | 136526454 |
| 14 | 9b62538c |
| 15 | 60cbb860 |
| hex | 3daec800 |
1034864640 has 384 divisors, whose sum is σ = 3891888000. Its totient is φ = 260112384.
The previous prime is 1034864603. The next prime is 1034864653. The reversal of 1034864640 is 464684301.
1034864640 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 8 + 6 + 4 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1034864595 and 1034864604.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5253022 + ... + 5253218.
It is an arithmetic number, because the mean of its divisors is an integer number (10135125).
Almost surely, 21034864640 is an apocalyptic number.
1034864640 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 1034864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945944000).
1034864640 is an abundant number, since it is smaller than the sum of its proper divisors (2857023360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1034864640 is a wasteful number, since it uses less digits than its factorization.
1034864640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 252 (or 226 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
The square root of 1034864640 is about 32169.3120846561. The cubic root of 1034864640 is about 1011.4890430459.
The spelling of 1034864640 in words is "one billion, thirty-four million, eight hundred sixty-four thousand, six hundred forty".
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