Base | Representation |
---|---|
bin | 111110010100111000000 |
3 | 10211202111220 |
4 | 13302213000 |
5 | 1010323204 |
6 | 111435040 |
7 | 23234145 |
oct | 7624700 |
9 | 3752456 |
10 | 2042304 |
11 | 1175460 |
12 | 825a80 |
13 | 566784 |
14 | 3b23cc |
15 | 2a51d9 |
hex | 1f29c0 |
2042304 has 56 divisors (see below), whose sum is σ = 5900928. Its totient is φ = 618240.
The previous prime is 2042303. The next prime is 2042317. The reversal of 2042304 is 4032402.
It is a happy number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2042303) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1629 + ... + 2595.
22042304 is an apocalyptic number.
2042304 is a gapful number since it is divisible by the number (24) 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 2042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950464).
2042304 is an abundant number, since it is smaller than the sum of its proper divisors (3858624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2042304 is a wasteful number, since it uses less digits than its factorization.
2042304 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 993 (or 983 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 15.
The square root of 2042304 is about 1429.0920194305. The cubic root of 2042304 is about 126.8742425962.
Adding to 2042304 its reverse (4032402), we get a palindrome (6074706).
It can be divided in two parts, 2042 and 304, that added together give a triangular number (2346 = T68).
The spelling of 2042304 in words is "two million, forty-two thousand, three hundred four".
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