| Base | Representation |
|---|---|
| bin | 110000111001101… |
| … | …100001000100000 |
| 3 | 2010011210010111000 |
| 4 | 300321230020200 |
| 5 | 3140012214334 |
| 6 | 213224352000 |
| 7 | 26221351200 |
| oct | 6071541040 |
| 9 | 2104703430 |
| 10 | 820429344 |
| 11 | 391124789 |
| 12 | 1aa915600 |
| 13 | 100c86867 |
| 14 | 7ad66400 |
| 15 | 4c060299 |
| hex | 30e6c220 |
820429344 has 144 divisors (see below), whose sum is σ = 2783743200. Its totient is φ = 234396288.
The previous prime is 820429339. The next prime is 820429349. The reversal of 820429344 is 443924028.
It is an interprime number because it is at equal distance from previous prime (820429339) and next prime (820429349).
It is a tau number, because it is divible by the number of its divisors (144).
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 = 820429299 and 820429308.
It is not an unprimeable number, because it can be changed into a prime (820429349) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32647 + ... + 52025.
It is an arithmetic number, because the mean of its divisors is an integer number (19331550).
Almost surely, 2820429344 is an apocalyptic number.
820429344 is a gapful number since it is divisible by the number (84) 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 820429344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391871600).
820429344 is an abundant number, since it is smaller than the sum of its proper divisors (1963313856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
820429344 is a wasteful number, since it uses less digits than its factorization.
820429344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19412 (or 19391 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
The square root of 820429344 is about 28643.1378169362. The cubic root of 820429344 is about 936.1534922506.
The spelling of 820429344 in words is "eight hundred twenty million, four hundred twenty-nine thousand, three hundred forty-four".
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