Base | Representation |
---|---|
bin | 10110100111100… |
… | …111111110000000 |
3 | 222110001220001000 |
4 | 112213213332000 |
5 | 1234122023310 |
6 | 101353412000 |
7 | 12255402261 |
oct | 2647477600 |
9 | 873056030 |
10 | 379486080 |
11 | 185234566 |
12 | a710a000 |
13 | 6080b29c |
14 | 38584968 |
15 | 234b04c0 |
hex | 169e7f80 |
379486080 has 128 divisors (see below), whose sum is σ = 1344074400. Its totient is φ = 101191680.
The previous prime is 379486067. The next prime is 379486099. The reversal of 379486080 is 80684973.
It is a happy number.
379486080 is a `hidden beast` number, since 37 + 9 + 4 + 8 + 608 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6300 + ... + 28260.
Almost surely, 2379486080 is an apocalyptic number.
379486080 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 379486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672037200).
379486080 is an abundant number, since it is smaller than the sum of its proper divisors (964588320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
379486080 is a wasteful number, since it uses less digits than its factorization.
379486080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 21989 (or 21971 counting only the distinct ones).
The product of its (nonzero) digits is 290304, while the sum is 45.
The square root of 379486080 is about 19480.4024599083. The cubic root of 379486080 is about 723.9889704576.
The spelling of 379486080 in words is "three hundred seventy-nine million, four hundred eighty-six thousand, eighty".
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