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284040 = 23335263
BaseRepresentation
bin1000101010110001000
3112102122000
41011112020
533042130
610031000
72262051
oct1052610
9472560
10284040
11184449
12118460
139c393
1475728
1559260
hex45588

284040 has 64 divisors (see below), whose sum is σ = 950400. Its totient is φ = 75456.

The previous prime is 284023. The next prime is 284041. The reversal of 284040 is 40482.

It is a happy number.

284040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (284041) by changing a digit.

284040 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 949 + ... + 1211.

It is an arithmetic number, because the mean of its divisors is an integer number (14850).

2284040 is an apocalyptic number.

284040 is a gapful number since it is divisible by the number (20) 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 284040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475200).

284040 is an abundant number, since it is smaller than the sum of its proper divisors (666360).

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

284040 is a wasteful number, since it uses less digits than its factorization.

284040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 284040 is about 532.9540317889. The cubic root of 284040 is about 65.7344703500.

The spelling of 284040 in words is "two hundred eighty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 263 270 360 526 540 789 1052 1080 1315 1578 2104 2367 2630 3156 3945 4734 5260 6312 7101 7890 9468 10520 11835 14202 15780 18936 23670 28404 31560 35505 47340 56808 71010 94680 142020 284040