Base | Representation |
---|---|
bin | 10110101100010… |
… | …101011001100000 |
3 | 222112101121200000 |
4 | 112230111121200 |
5 | 1234431030421 |
6 | 101440100000 |
7 | 12302033664 |
oct | 2654253140 |
9 | 875347600 |
10 | 380720736 |
11 | 1859a8140 |
12 | a7604600 |
13 | 60b51256 |
14 | 387c68a4 |
15 | 23656226 |
hex | 16b15660 |
380720736 has 144 divisors (see below), whose sum is σ = 1225119168. Its totient is φ = 115344000.
The previous prime is 380720723. The next prime is 380720741. The reversal of 380720736 is 637027083.
380720736 is digitally balanced in base 3, 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 (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 380720736.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83311 + ... + 87761.
It is an arithmetic number, because the mean of its divisors is an integer number (8507772).
Almost surely, 2380720736 is an apocalyptic number.
380720736 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 380720736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612559584).
380720736 is an abundant number, since it is smaller than the sum of its proper divisors (844398432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
380720736 is a wasteful number, since it uses less digits than its factorization.
380720736 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4487 (or 4467 counting only the distinct ones).
The product of its (nonzero) digits is 42336, while the sum is 36.
The square root of 380720736 is about 19512.0664205512. The cubic root of 380720736 is about 724.7732852747.
The spelling of 380720736 in words is "three hundred eighty million, seven hundred twenty thousand, seven hundred thirty-six".
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