| Base | Representation |
|---|---|
| bin | 1110110000101110… |
| … | …0001001000000000 |
| 3 | 101020011000220220000 |
| 4 | 3230023201020000 |
| 5 | 31103341122430 |
| 6 | 1453104520000 |
| 7 | 200123126511 |
| oct | 35413411000 |
| 9 | 11204026800 |
| 10 | 3962442240 |
| 11 | 1753771559 |
| 12 | 927020000 |
| 13 | 4b1c016a3 |
| 14 | 298378a08 |
| 15 | 182d06e60 |
| hex | ec2e1200 |
3962442240 has 400 divisors, whose sum is σ = 14411311992. Its totient is φ = 1040449536.
The previous prime is 3962442203. The next prime is 3962442241. The reversal of 3962442240 is 422442693.
3962442240 is a `hidden beast` number, since 3 + 9 + 624 + 4 + 2 + 24 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 3851940096 + 110502144 = 62064^2 + 10512^2 .
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 = 3962442195 and 3962442204.
It is not an unprimeable number, because it can be changed into a prime (3962442241) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20113822 + ... + 20114018.
Almost surely, 23962442240 is an apocalyptic number.
3962442240 is a gapful number since it is divisible by the number (30) 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 3962442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7205655996).
3962442240 is an abundant number, since it is smaller than the sum of its proper divisors (10448869752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3962442240 is an equidigital number, since it uses as much as digits as its factorization.
3962442240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 329 (or 304 counting only the distinct ones).
The product of its (nonzero) digits is 82944, while the sum is 36.
The square root of 3962442240 is about 62947.9327698694. The cubic root of 3962442240 is about 1582.4171516116.
The spelling of 3962442240 in words is "three billion, nine hundred sixty-two million, four hundred forty-two thousand, two hundred forty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.083 sec. • engine limits •