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244441000 = 2353298429
BaseRepresentation
bin11101001000111…
…01111110101000
3122000221220000101
432210131332220
51000034103000
640131115144
76025466656
oct1644357650
9560856011
10244441000
11115a87161
1269a42ab4
133b84735b
142466ddd6
15166d6e6a
hexe91dfa8

244441000 has 64 divisors (see below), whose sum is σ = 591786000. Its totient is φ = 94393600.

The previous prime is 244440997. The next prime is 244441007. The reversal of 244441000 is 144442.

It can be written as a sum of positive squares in 8 ways, for example, as 19044 + 244421956 = 138^2 + 15634^2 .

It is not an unprimeable number, because it can be changed into a prime (244441007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24786 + ... + 33214.

Almost surely, 2244441000 is an apocalyptic number.

244441000 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 244441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295893000).

244441000 is an abundant number, since it is smaller than the sum of its proper divisors (347345000).

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

244441000 is a wasteful number, since it uses less digits than its factorization.

244441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8479 (or 8465 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 244441000 is about 15634.6090453199. The cubic root of 244441000 is about 625.2562149519.

Adding to 244441000 its reverse (144442), we get a palindrome (244585442).

The spelling of 244441000 in words is "two hundred forty-four million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 8429 14500 16858 29000 33716 42145 67432 84290 168580 210725 244441 337160 421450 488882 842900 977764 1053625 1222205 1685800 1955528 2107250 2444410 4214500 4888820 6111025 8429000 9777640 12222050 24444100 30555125 48888200 61110250 122220500 244441000