Base | Representation |
---|---|
bin | 1101111100010110… |
… | …1100111110000000 |
3 | 100122211202122200201 |
4 | 3133011230332000 |
5 | 30131130022310 |
6 | 1415221254544 |
7 | 161515252255 |
oct | 33705547600 |
9 | 10584678621 |
10 | 3742814080 |
11 | 16507a2685 |
12 | 885564454 |
13 | 4785642b5 |
14 | 27712742c |
15 | 16d8c1e3a |
hex | df16cf80 |
3742814080 has 64 divisors (see below), whose sum is σ = 9012250800. Its totient is φ = 1486319616.
The previous prime is 3742814059. The next prime is 3742814113. The reversal of 3742814080 is 804182473.
It is a tau number, because it is divible by the number of its divisors (64).
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 67924 + ... + 109996.
Almost surely, 23742814080 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 3742814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506125400).
3742814080 is an abundant number, since it is smaller than the sum of its proper divisors (5269436720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3742814080 is a wasteful number, since it uses less digits than its factorization.
3742814080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 42231 (or 42219 counting only the distinct ones).
The product of its (nonzero) digits is 43008, while the sum is 37.
The square root of 3742814080 is about 61178.5426436426. The cubic root of 3742814080 is about 1552.6232484616.
The spelling of 3742814080 in words is "three billion, seven hundred forty-two million, eight hundred fourteen thousand, eighty".
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