Search a number
-
+
244094000 = 2453312127
BaseRepresentation
bin11101000110010…
…01010000110000
3122000022021000112
432203021100300
5444442002000
640115440452
76022523213
oct1643112060
9560267015
10244094000
1111586a487
12698b6128
133b755427
14245bd77a
1516669235
hexe8c9430

244094000 has 120 divisors (see below), whose sum is σ = 614674944. Its totient is φ = 93744000.

The previous prime is 244093987. The next prime is 244094057. The reversal of 244094000 is 490442.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1921937 + ... + 1922063.

Almost surely, 2244094000 is an apocalyptic number.

244094000 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 244094000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307337472).

244094000 is an abundant number, since it is smaller than the sum of its proper divisors (370580944).

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

244094000 is a wasteful number, since it uses less digits than its factorization.

244094000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 244094000 is about 15623.5079287591. The cubic root of 244094000 is about 624.9602108003.

The spelling of 244094000 in words is "two hundred forty-four million, ninety-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 127 155 200 248 250 254 310 400 496 500 508 620 635 775 961 1000 1016 1240 1270 1550 1922 2000 2032 2480 2540 3100 3175 3844 3875 3937 4805 5080 6200 6350 7688 7750 7874 9610 10160 12400 12700 15376 15500 15748 15875 19220 19685 24025 25400 31000 31496 31750 38440 39370 48050 50800 62000 62992 63500 76880 78740 96100 98425 120125 122047 127000 157480 192200 196850 240250 244094 254000 314960 384400 393700 480500 488188 492125 610235 787400 961000 976376 984250 1220470 1574800 1922000 1952752 1968500 2440940 3051175 3937000 4881880 6102350 7874000 9763760 12204700 15255875 24409400 30511750 48818800 61023500 122047000 244094000