Base | Representation |
---|---|
bin | 1011101110011011000000 |
3 | 12210011100210 |
4 | 23232123000 |
5 | 1241324403 |
6 | 145514120 |
7 | 35061210 |
oct | 13563300 |
9 | 5704323 |
10 | 3073728 |
11 | 180a379 |
12 | 1042940 |
13 | 838098 |
14 | 5a0240 |
15 | 40ab03 |
hex | 2ee6c0 |
3073728 has 56 divisors (see below), whose sum is σ = 9298432. Its totient is φ = 877824.
The previous prime is 3073727. The next prime is 3073747. The reversal of 3073728 is 8273703.
3073728 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 (56).
It is a junction number, because it is equal to n+sod(n) for n = 3073695 and 3073704.
It is not an unprimeable number, because it can be changed into a prime (3073727) 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 7 ways as a sum of consecutive naturals, for example, 201 + ... + 2487.
Almost surely, 23073728 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3073728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649216).
3073728 is an abundant number, since it is smaller than the sum of its proper divisors (6224704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3073728 is a wasteful number, since it uses less digits than its factorization.
3073728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2309 (or 2299 counting only the distinct ones).
The product of its (nonzero) digits is 7056, while the sum is 30.
The square root of 3073728 is about 1753.2050650166. The cubic root of 3073728 is about 145.3968991264.
The spelling of 3073728 in words is "three million, seventy-three thousand, seven hundred twenty-eight".
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