Base | Representation |
---|---|
bin | 1101100100001111… |
… | …1010101100111000 |
3 | 100101210110122120200 |
4 | 3121003322230320 |
5 | 24424232321434 |
6 | 1401205522200 |
7 | 156146535600 |
oct | 33103725470 |
9 | 10353418520 |
10 | 3641682744 |
11 | 15a96a9167 |
12 | 857713360 |
13 | 46061587b |
14 | 26791dc00 |
15 | 164a97199 |
hex | d90fab38 |
3641682744 has 144 divisors (see below), whose sum is σ = 12148250400. Its totient is φ = 979259904.
The previous prime is 3641682719. The next prime is 3641682749. The reversal of 3641682744 is 4472861463.
3641682744 is a `hidden beast` number, since 364 + 16 + 8 + 274 + 4 = 666.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 3641682744.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3641682749) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29617 + ... + 90335.
It is an arithmetic number, because the mean of its divisors is an integer number (84362850).
Almost surely, 23641682744 is an apocalyptic number.
3641682744 is a gapful number since it is divisible by the number (34) 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 3641682744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074125200).
3641682744 is an abundant number, since it is smaller than the sum of its proper divisors (8506567656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3641682744 is a wasteful number, since it uses less digits than its factorization.
3641682744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 60762 (or 60748 counting only the distinct ones).
The product of its digits is 774144, while the sum is 45.
The square root of 3641682744 is about 60346.3565097347. The cubic root of 3641682744 is about 1538.5113438086.
The spelling of 3641682744 in words is "three billion, six hundred forty-one million, six hundred eighty-two thousand, seven hundred forty-four".
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