| Base | Representation |
|---|---|
| bin | 10110101000001… |
| … | …110010010100000 |
| 3 | 222110100212100100 |
| 4 | 112220032102200 |
| 5 | 1234142034130 |
| 6 | 101401022400 |
| 7 | 12256625010 |
| oct | 2650162240 |
| 9 | 873325310 |
| 10 | 379643040 |
| 11 | 185331487 |
| 12 | a7184a00 |
| 13 | 6086486a |
| 14 | 385c5c40 |
| 15 | 234e1c60 |
| hex | 16a0e4a0 |
379643040 has 144 divisors (see below), whose sum is σ = 1480647168. Its totient is φ = 86773248.
The previous prime is 379643039. The next prime is 379643041. The reversal of 379643040 is 40346973.
379643040 is a `hidden beast` number, since 3 + 7 + 9 + 643 + 0 + 4 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (379643039) and next prime (379643041).
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 junction number, because it is equal to n+sod(n) for n = 379642986 and 379643004.
It is not an unprimeable number, because it can be changed into a prime (379643041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8752 + ... + 28911.
It is an arithmetic number, because the mean of its divisors is an integer number (10282272).
Almost surely, 2379643040 is an apocalyptic number.
379643040 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 379643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740323584).
379643040 is an abundant number, since it is smaller than the sum of its proper divisors (1101004128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
379643040 is a wasteful number, since it uses less digits than its factorization.
379643040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 37691 (or 37680 counting only the distinct ones).
The product of its (nonzero) digits is 54432, while the sum is 36.
The square root of 379643040 is about 19484.4307076188. The cubic root of 379643040 is about 724.0887735432.
The spelling of 379643040 in words is "three hundred seventy-nine million, six hundred forty-three thousand, forty".
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