Base | Representation |
---|---|
bin | 111111100100001… |
… | …000001100010000 |
3 | 2202022200112021100 |
4 | 333210020030100 |
5 | 4141001412334 |
6 | 253453224400 |
7 | 35266356642 |
oct | 7744101420 |
9 | 2668615240 |
10 | 1066435344 |
11 | 4a7a7a727 |
12 | 259192100 |
13 | 13cc2b340 |
14 | a18c2892 |
15 | 63955c99 |
hex | 3f908310 |
1066435344 has 120 divisors (see below), whose sum is σ = 3383394560. Its totient is φ = 310853376.
The previous prime is 1066435327. The next prime is 1066435361. The reversal of 1066435344 is 4435346601.
1066435344 is a `hidden beast` number, since 1 + 0 + 6 + 643 + 5 + 3 + 4 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (1066435327) and next prime (1066435361).
It is a super-2 number, since 2×10664353442 = 2274568685864796672, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1066435299 and 1066435308.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20577 + ... + 50559.
Almost surely, 21066435344 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 1066435344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691697280).
1066435344 is an abundant number, since it is smaller than the sum of its proper divisors (2316959216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1066435344 is a wasteful number, since it uses less digits than its factorization.
1066435344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 30029 (or 30020 counting only the distinct ones).
The product of its (nonzero) digits is 103680, while the sum is 36.
The square root of 1066435344 is about 32656.3216544668. The cubic root of 1066435344 is about 1021.6720442093.
The spelling of 1066435344 in words is "one billion, sixty-six million, four hundred thirty-five thousand, three hundred forty-four".
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