Base | Representation |
---|---|
bin | 1011110101010011010000 |
3 | 12211121000100 |
4 | 23311103100 |
5 | 1243230104 |
6 | 150252400 |
7 | 35236311 |
oct | 13652320 |
9 | 5747010 |
10 | 3101904 |
11 | 1829563 |
12 | 1057100 |
13 | 847b60 |
14 | 5aa608 |
15 | 414139 |
hex | 2f54d0 |
3101904 has 60 divisors (see below), whose sum is σ = 9354436. Its totient is φ = 953856.
The previous prime is 3101897. The next prime is 3101947. The reversal of 3101904 is 4091013.
3101904 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 705600 + 2396304 = 840^2 + 1548^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
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 11 ways as a sum of consecutive naturals, for example, 1044 + ... + 2700.
Almost surely, 23101904 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 3101904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677218).
3101904 is an abundant number, since it is smaller than the sum of its proper divisors (6252532).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3101904 is a wasteful number, since it uses less digits than its factorization.
3101904 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1684 (or 1675 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
The square root of 3101904 is about 1761.2223028340. Note that the first 3 decimals coincide. The cubic root of 3101904 is about 145.8398193215.
Adding to 3101904 its reverse (4091013), we get a palindrome (7192917).
It can be divided in two parts, 3101 and 904, that added together give a triangular number (4005 = T89).
The spelling of 3101904 in words is "three million, one hundred one thousand, nine hundred four".
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