Base | Representation |
---|---|
bin | 1100111111100110… |
… | …0010110101000000 |
3 | 100000002020011101100 |
4 | 3033321202311000 |
5 | 24120404443301 |
6 | 1334035134400 |
7 | 152302146411 |
oct | 31771426500 |
9 | 10002204340 |
10 | 3487968576 |
11 | 152a95a464 |
12 | 814144400 |
13 | 437816241 |
14 | 251349808 |
15 | 156332286 |
hex | cfe62d40 |
3487968576 has 84 divisors (see below), whose sum is σ = 10023227604. Its totient is φ = 1159680000.
The previous prime is 3487968571. The next prime is 3487968587. The reversal of 3487968576 is 6758697843.
3487968576 is a `hidden beast` number, since 3 + 487 + 9 + 6 + 85 + 76 = 666.
3487968576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 2190240000 + 1297728576 = 46800^2 + 36024^2 .
It is a super-3 number, since 3×34879685763 (a number of 30 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3487968571) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223426 + ... + 238526.
Almost surely, 23487968576 is an apocalyptic number.
3487968576 is a gapful number since it is divisible by the number (36) 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 3487968576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011613802).
3487968576 is an abundant number, since it is smaller than the sum of its proper divisors (6535259028).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3487968576 is a wasteful number, since it uses less digits than its factorization.
3487968576 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15520 (or 15507 counting only the distinct ones).
The product of its digits is 60963840, while the sum is 63.
The square root of 3487968576 is about 59059.0262026051. The cubic root of 3487968576 is about 1516.5527510518.
The spelling of 3487968576 in words is "three billion, four hundred eighty-seven million, nine hundred sixty-eight thousand, five hundred seventy-six".
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