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378000 = 2433537
BaseRepresentation
bin1011100010010010000
3201012112000
41130102100
544044000
612034000
73133020
oct1342220
9635460
10378000
11238aa7
12162900
1310308c
149ba80
1577000
hex5c490

378000 has 160 divisors (see below), whose sum is σ = 1547520. Its totient is φ = 86400.

The previous prime is 377999. The next prime is 378011. The reversal of 378000 is 873.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 53997 + ... + 54003.

It is an arithmetic number, because the mean of its divisors is an integer number (9672).

2378000 is an apocalyptic number.

378000 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 378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773760).

378000 is an abundant number, since it is smaller than the sum of its proper divisors (1169520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

378000 is a wasteful number, since it uses less digits than its factorization.

378000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 378000 is about 614.8170459576. The cubic root of 378000 is about 72.3042679253.

Adding to 378000 its reverse (873), we get a palindrome (378873).

The spelling of 378000 in words is "three hundred seventy-eight thousand".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 35 36 40 42 45 48 50 54 56 60 63 70 72 75 80 84 90 100 105 108 112 120 125 126 135 140 144 150 168 175 180 189 200 210 216 225 240 250 252 270 280 300 315 336 350 360 375 378 400 420 432 450 500 504 525 540 560 600 630 675 700 720 750 756 840 875 900 945 1000 1008 1050 1080 1125 1200 1260 1350 1400 1500 1512 1575 1680 1750 1800 1890 2000 2100 2160 2250 2520 2625 2700 2800 3000 3024 3150 3375 3500 3600 3780 4200 4500 4725 5040 5250 5400 6000 6300 6750 7000 7560 7875 8400 9000 9450 10500 10800 12600 13500 14000 15120 15750 18000 18900 21000 23625 25200 27000 31500 37800 42000 47250 54000 63000 75600 94500 126000 189000 378000