Base | Representation |
---|---|
bin | 1011100010110000000 |
3 | 201012211220 |
4 | 1130112000 |
5 | 44100430 |
6 | 12035040 |
7 | 3133512 |
oct | 1342600 |
9 | 635756 |
10 | 378240 |
11 | 2391a5 |
12 | 162a80 |
13 | 103215 |
14 | 9bbb2 |
15 | 77110 |
hex | 5c580 |
378240 has 64 divisors (see below), whose sum is σ = 1211760. Its totient is φ = 100352.
The previous prime is 378239. The next prime is 378241. The reversal of 378240 is 42873.
It is an interprime number because it is at equal distance from previous prime (378239) and next prime (378241).
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nialpdrome in base 15.
It is a self number, because there is not a number n which added to its sum of digits gives 378240.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 378240.
It is not an unprimeable number, because it can be changed into a prime (378241) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1822 + ... + 2018.
2378240 is an apocalyptic number.
378240 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 378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605880).
378240 is an abundant number, since it is smaller than the sum of its proper divisors (833520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
378240 is a wasteful number, since it uses less digits than its factorization.
378240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 219 (or 207 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 24.
The square root of 378240 is about 615.0121950010. The cubic root of 378240 is about 72.3195671783.
The spelling of 378240 in words is "three hundred seventy-eight thousand, two hundred forty".
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