Base | Representation |
---|---|
bin | 1101000101001001000000 |
3 | 20110012121100 |
4 | 31011021000 |
5 | 1334211203 |
6 | 201254400 |
7 | 41100606 |
oct | 15051100 |
9 | 6405540 |
10 | 3428928 |
11 | 1a32228 |
12 | 1194400 |
13 | 930969 |
14 | 653876 |
15 | 47aea3 |
hex | 345240 |
3428928 has 42 divisors (see below), whose sum is σ = 9830054. Its totient is φ = 1142784.
The previous prime is 3428923. The next prime is 3428947. The reversal of 3428928 is 8298243.
It can be written as a sum of positive squares in only one way, i.e., 1871424 + 1557504 = 1368^2 + 1248^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 3428892 and 3428901.
It is not an unprimeable number, because it can be changed into a prime (3428921) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2401 + ... + 3552.
Almost surely, 23428928 is an apocalyptic number.
It is an amenable number.
3428928 is an abundant number, since it is smaller than the sum of its proper divisors (6401126).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3428928 is a wasteful number, since it uses less digits than its factorization.
3428928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5971 (or 5958 counting only the distinct ones).
The product of its digits is 27648, while the sum is 36.
The square root of 3428928 is about 1851.7364823322. The cubic root of 3428928 is about 150.7947154136.
It can be divided in two parts, 3428 and 928, that added together give a square (4356 = 662).
The spelling of 3428928 in words is "three million, four hundred twenty-eight thousand, nine hundred twenty-eight".
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