Base | Representation |
---|---|
bin | 1011100110110011100000 |
3 | 12201120120020 |
4 | 23212303200 |
5 | 1234330103 |
6 | 145113440 |
7 | 34601226 |
oct | 13466340 |
9 | 5646506 |
10 | 3042528 |
11 | 1798995 |
12 | 1028880 |
13 | 826b18 |
14 | 592b16 |
15 | 401753 |
hex | 2e6ce0 |
3042528 has 48 divisors (see below), whose sum is σ = 8192016. Its totient is φ = 988160.
The previous prime is 3042493. The next prime is 3042553. The reversal of 3042528 is 8252403.
3042528 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 (48).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 3042498 and 3042507.
It is a congruent number.
It is an unprimeable number.
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, 3550 + ... + 4322.
It is an arithmetic number, because the mean of its divisors is an integer number (170667).
Almost surely, 23042528 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 3042528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096008).
3042528 is an abundant number, since it is smaller than the sum of its proper divisors (5149488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3042528 is a wasteful number, since it uses less digits than its factorization.
3042528 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 827 (or 819 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 24.
The square root of 3042528 is about 1744.2843804839. The cubic root of 3042528 is about 144.9032727860.
It can be divided in two parts, 3042 and 528, that added together give a triangular number (3570 = T84).
The spelling of 3042528 in words is "three million, forty-two thousand, five hundred twenty-eight".
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