Base | Representation |
---|---|
bin | 10110101000100… |
… | …001101000000000 |
3 | 222110111212222200 |
4 | 112220201220000 |
5 | 1234202102430 |
6 | 101402433200 |
7 | 12260404632 |
oct | 2650415000 |
9 | 873455880 |
10 | 379722240 |
11 | 185385a37 |
12 | a7202800 |
13 | 60891921 |
14 | 38606a52 |
15 | 2350a460 |
hex | 16a21a00 |
379722240 has 120 divisors (see below), whose sum is σ = 1315164708. Its totient is φ = 101253120.
The previous prime is 379722227. The next prime is 379722257. The reversal of 379722240 is 42227973.
It can be written as a sum of positive squares in 2 ways, for example, as 374190336 + 5531904 = 19344^2 + 2352^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 379722195 and 379722204.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14800 + ... + 31280.
Almost surely, 2379722240 is an apocalyptic number.
379722240 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 379722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657582354).
379722240 is an abundant number, since it is smaller than the sum of its proper divisors (935442468).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
379722240 is a wasteful number, since it uses less digits than its factorization.
379722240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16510 (or 16491 counting only the distinct ones).
The product of its (nonzero) digits is 42336, while the sum is 36.
The square root of 379722240 is about 19486.4629935758. The cubic root of 379722240 is about 724.1391224564.
The spelling of 379722240 in words is "three hundred seventy-nine million, seven hundred twenty-two thousand, two hundred forty".
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