| Base | Representation |
|---|---|
| bin | 1110101000010110100000 |
| 3 | 21012212001000 |
| 4 | 32220112200 |
| 5 | 1440212141 |
| 6 | 214112000 |
| 7 | 44412423 |
| oct | 16502640 |
| 9 | 7185030 |
| 10 | 3835296 |
| 11 | 218a573 |
| 12 | 134b600 |
| 13 | a4390a |
| 14 | 71b9ba |
| 15 | 50b5b6 |
| hex | 3a85a0 |
3835296 has 96 divisors (see below), whose sum is σ = 11733120. Its totient is φ = 1216512.
The previous prime is 3835291. The next prime is 3835301. The reversal of 3835296 is 6925383.
It is an interprime number because it is at equal distance from previous prime (3835291) and next prime (3835301).
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 3835296.
It is not an unprimeable number, because it can be changed into a prime (3835291) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19776 + ... + 19968.
It is an arithmetic number, because the mean of its divisors is an integer number (122220).
Almost surely, 23835296 is an apocalyptic number.
3835296 is a gapful number since it is divisible by the number (36) 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 3835296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5866560).
3835296 is an abundant number, since it is smaller than the sum of its proper divisors (7897824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3835296 is a wasteful number, since it uses less digits than its factorization.
3835296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 235 (or 221 counting only the distinct ones).
The product of its digits is 38880, while the sum is 36.
The square root of 3835296 is about 1958.3911764507. The cubic root of 3835296 is about 156.5307366808.
Subtracting from 3835296 its product of digits (38880), we obtain a cube (3796416 = 1563).
The spelling of 3835296 in words is "three million, eight hundred thirty-five thousand, two hundred ninety-six".
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