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441000 = 23325372
BaseRepresentation
bin1101011101010101000
3211101221100
41223222220
5103103000
613241400
73514500
oct1535250
9741840
10441000
1128136a
12193260
13125961
14b6a00
158aa00
hex6baa8

441000 has 144 divisors (see below), whose sum is σ = 1733940. Its totient is φ = 100800.

The previous prime is 440989. The next prime is 441011. The reversal of 441000 is 144.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (440989) and next prime (441011).

It can be written as a sum of positive squares in 2 ways, for example, as 298116 + 142884 = 546^2 + 378^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 441000.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62997 + ... + 63003.

2441000 is an apocalyptic number.

441000 is a gapful number since it is divisible by the number (40) 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 441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866970).

441000 is an abundant number, since it is smaller than the sum of its proper divisors (1292940).

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

441000 is a wasteful number, since it uses less digits than its factorization.

441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 441000 is about 664.0783086354. The cubic root of 441000 is about 76.1166261102.

Adding to 441000 its reverse (144), we get a palindrome (441144).

The spelling of 441000 in words is "four hundred forty-one thousand", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 49 50 56 60 63 70 72 75 84 90 98 100 105 120 125 126 140 147 150 168 175 180 196 200 210 225 245 250 252 280 294 300 315 350 360 375 392 420 441 450 490 500 504 525 588 600 630 700 735 750 840 875 882 900 980 1000 1050 1125 1176 1225 1260 1400 1470 1500 1575 1750 1764 1800 1960 2100 2205 2250 2450 2520 2625 2940 3000 3150 3500 3528 3675 4200 4410 4500 4900 5250 5880 6125 6300 7000 7350 7875 8820 9000 9800 10500 11025 12250 12600 14700 15750 17640 18375 21000 22050 24500 29400 31500 36750 44100 49000 55125 63000 73500 88200 110250 147000 220500 441000