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144304240 = 24519139683
BaseRepresentation
bin10001001100111…
…10100001110000
3101001112102012111
420212132201300
5243420213430
622152535104
73401365033
oct1046364160
9331472174
10144304240
1174501a03
12403b1494
1323b86532
141524501a
15ca06c2a
hex899e870

144304240 has 80 divisors (see below), whose sum is σ = 356227200. Its totient is φ = 54210816.

The previous prime is 144304201. The next prime is 144304267. The reversal of 144304240 is 42403441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210939 + ... + 211621.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2144304240 is an apocalyptic number.

144304240 is a gapful number since it is divisible by the number (10) 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 144304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178113600).

144304240 is an abundant number, since it is smaller than the sum of its proper divisors (211922960).

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

144304240 is a wasteful number, since it uses less digits than its factorization.

144304240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 144304240 is about 12012.6699779857. The cubic root of 144304240 is about 524.5171554574.

Adding to 144304240 its reverse (42403441), we get a palindrome (186707681).

The spelling of 144304240 in words is "one hundred forty-four million, three hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 139 152 190 278 304 380 556 683 695 760 1112 1366 1390 1520 2224 2641 2732 2780 3415 5282 5464 5560 6830 10564 10928 11120 12977 13205 13660 21128 25954 26410 27320 42256 51908 52820 54640 64885 94937 103816 105640 129770 189874 207632 211280 259540 379748 474685 519080 759496 949370 1038160 1518992 1803803 1898740 3607606 3797480 7215212 7594960 9019015 14430424 18038030 28860848 36076060 72152120 144304240