Base | Representation |
---|---|
bin | 111101101001010… |
… | …000000110010100 |
3 | 2200002002000122100 |
4 | 331221100012110 |
5 | 4104230132040 |
6 | 250343002100 |
7 | 34425521244 |
oct | 7551200624 |
9 | 2602060570 |
10 | 1034224020 |
11 | 4908798a5 |
12 | 24a439330 |
13 | 13636099b |
14 | 9b4d9b24 |
15 | 60be1b30 |
hex | 3da50194 |
1034224020 has 36 divisors (see below), whose sum is σ = 3137146740. Its totient is φ = 275793024.
The previous prime is 1034224007. The next prime is 1034224021. The reversal of 1034224020 is 204224301.
It can be written as a sum of positive squares in 2 ways, for example, as 771395076 + 262828944 = 27774^2 + 16212^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1034223984 and 1034224002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1034224021) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2872665 + ... + 2873024.
It is an arithmetic number, because the mean of its divisors is an integer number (87142965).
Almost surely, 21034224020 is an apocalyptic number.
1034224020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1034224020 is an abundant number, since it is smaller than the sum of its proper divisors (2102922720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1034224020 is a wasteful number, since it uses less digits than its factorization.
1034224020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5745704 (or 5745699 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 1034224020 is about 32159.3535382787. The cubic root of 1034224020 is about 1011.2802834202.
Adding to 1034224020 its reverse (204224301), we get a palindrome (1238448321).
The spelling of 1034224020 in words is "one billion, thirty-four million, two hundred twenty-four thousand, twenty".
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