Base | Representation |
---|---|
bin | 100101000010011… |
… | …1100100000000000 |
3 | 10012121120022022122 |
4 | 1022010330200000 |
5 | 10021124412433 |
6 | 323153423412 |
7 | 42540466562 |
oct | 11204744000 |
9 | 3177508278 |
10 | 1242810368 |
11 | 588596908 |
12 | 2a826ab68 |
13 | 16a633267 |
14 | bb0b5332 |
15 | 74195198 |
hex | 4a13c800 |
1242810368 has 108 divisors (see below), whose sum is σ = 2688215985. Its totient is φ = 574341120.
The previous prime is 1242810343. The next prime is 1242810389. The reversal of 1242810368 is 8630182421.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 887563264 + 355247104 = 29792^2 + 18848^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=24928.
It is a super-2 number, since 2×12428103682 = 3089155221616590848, which contains 22 as substring.
It is a Duffinian number.
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30312428 + ... + 30312468.
Almost surely, 21242810368 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 1242810368
1242810368 is an abundant number, since it is smaller than the sum of its proper divisors (1445405617).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1242810368 is an frugal number, since it uses more digits than its factorization.
1242810368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 142 (or 62 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 35.
The square root of 1242810368 is about 35253.5156828365. The cubic root of 1242810368 is about 1075.1480936771.
Multiplying 1242810368 by its product of nonzero digits (18432), we get a square (22907480702976 = 47861762).
Adding to 1242810368 its reverse (8630182421), we get a palindrome (9872992789).
The spelling of 1242810368 in words is "one billion, two hundred forty-two million, eight hundred ten thousand, three hundred sixty-eight".
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