Base | Representation |
---|---|
bin | 1111110101101… |
… | …1011110000000 |
3 | 11122000020121111 |
4 | 3331123132000 |
5 | 114001404234 |
6 | 10331533104 |
7 | 1434454612 |
oct | 375333600 |
9 | 148006544 |
10 | 66434944 |
11 | 34556614 |
12 | 1a2ba194 |
13 | 109c0c24 |
14 | 8b74db2 |
15 | 5c74664 |
hex | 3f5b780 |
66434944 has 64 divisors (see below), whose sum is σ = 141984000. Its totient is φ = 30868992.
The previous prime is 66434933. The next prime is 66434959. The reversal of 66434944 is 44943466.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (64).
It is a junction number, because it is equal to n+sod(n) for n = 66434897 and 66434906.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143257 + ... + 143719.
It is an arithmetic number, because the mean of its divisors is an integer number (2218500).
Almost surely, 266434944 is an apocalyptic number.
66434944 is a gapful number since it is divisible by the number (64) 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 66434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70992000).
66434944 is an abundant number, since it is smaller than the sum of its proper divisors (75549056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66434944 is a wasteful number, since it uses less digits than its factorization.
66434944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 555 (or 543 counting only the distinct ones).
The product of its digits is 248832, while the sum is 40.
The square root of 66434944 is about 8150.7633998295. The cubic root of 66434944 is about 405.0097929858.
The spelling of 66434944 in words is "sixty-six million, four hundred thirty-four thousand, nine hundred forty-four".
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