Base | Representation |
---|---|
bin | 10110110011110… |
… | …010010101000000 |
3 | 222200001212101000 |
4 | 112303302111000 |
5 | 1240431033430 |
6 | 101550012000 |
7 | 12324451224 |
oct | 2663622500 |
9 | 880055330 |
10 | 382674240 |
11 | 187011903 |
12 | a81a7000 |
13 | 61386480 |
14 | 38b74784 |
15 | 238dee60 |
hex | 16cf2540 |
382674240 has 224 divisors, whose sum is σ = 1454261760. Its totient is φ = 94169088.
The previous prime is 382674223. The next prime is 382674251. The reversal of 382674240 is 42476283.
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 = 382674195 and 382674204.
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 31 ways as a sum of consecutive naturals, for example, 110617 + ... + 114023.
It is an arithmetic number, because the mean of its divisors is an integer number (6492240).
Almost surely, 2382674240 is an apocalyptic number.
382674240 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 382674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727130880).
382674240 is an abundant number, since it is smaller than the sum of its proper divisors (1071587520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
382674240 is a wasteful number, since it uses less digits than its factorization.
382674240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3446 (or 3430 counting only the distinct ones).
The product of its (nonzero) digits is 64512, while the sum is 36.
The square root of 382674240 is about 19562.0612410860. The cubic root of 382674240 is about 726.0107914522.
The spelling of 382674240 in words is "three hundred eighty-two million, six hundred seventy-four thousand, two hundred forty".
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