| Base | Representation |
|---|---|
| bin | 111001100101011… |
| … | …101011110000000 |
| 3 | 2111022221001100000 |
| 4 | 321211131132000 |
| 5 | 3434311340334 |
| 6 | 235511200000 |
| 7 | 32640616206 |
| oct | 7145353600 |
| 9 | 2438831300 |
| 10 | 966121344 |
| 11 | 4563942a1 |
| 12 | 22b676000 |
| 13 | 125207946 |
| 14 | 9244d076 |
| 15 | 59c3d299 |
| hex | 3995d780 |
966121344 has 192 divisors, whose sum is σ = 2923830000. Its totient is φ = 317509632.
The previous prime is 966121337. The next prime is 966121349. The reversal of 966121344 is 443121669.
966121344 is a `hidden beast` number, since 9 + 6 + 612 + 1 + 34 + 4 = 666.
966121344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 966121299 and 966121308.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (966121349) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2768082 + ... + 2768430.
Almost surely, 2966121344 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 966121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461915000).
966121344 is an abundant number, since it is smaller than the sum of its proper divisors (1957708656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
966121344 is an equidigital number, since it uses as much as digits as its factorization.
966121344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 467 (or 443 counting only the distinct ones).
The product of its digits is 31104, while the sum is 36.
The square root of 966121344 is about 31082.4925641429. The cubic root of 966121344 is about 988.5771295229.
The spelling of 966121344 in words is "nine hundred sixty-six million, one hundred twenty-one thousand, three hundred forty-four".
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