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144340336 = 2471741432
BaseRepresentation
bin10001001101001…
…11010101110000
3101001121020201101
420212213111300
5243422342321
622153414144
73401605210
oct1046472560
9331536641
10144340336
1174527038
124040a354
1323b99aaa
1415254240
15ca12791
hex89a7570

144340336 has 120 divisors (see below), whose sum is σ = 354914784. Its totient is φ = 55480320.

The previous prime is 144340333. The next prime is 144340349. The reversal of 144340336 is 633043441.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144340333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3356731 + ... + 3356773.

Almost surely, 2144340336 is an apocalyptic number.

144340336 is a gapful number since it is divisible by the number (16) 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 144340336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177457392).

144340336 is an abundant number, since it is smaller than the sum of its proper divisors (210574448).

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

144340336 is a wasteful number, since it uses less digits than its factorization.

144340336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 144340336 is about 12014.1722977490. The cubic root of 144340336 is about 524.5608857337.

Adding to 144340336 its reverse (633043441), we get a palindrome (777383777).

The spelling of 144340336 in words is "one hundred forty-four million, three hundred forty thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 41 43 56 68 82 86 112 119 136 164 172 238 272 287 301 328 344 476 574 602 656 688 697 731 952 1148 1204 1394 1462 1763 1849 1904 2296 2408 2788 2924 3526 3698 4592 4816 4879 5117 5576 5848 7052 7396 9758 10234 11152 11696 12341 12943 14104 14792 19516 20468 24682 25886 28208 29584 29971 31433 39032 40936 49364 51772 59942 62866 75809 78064 81872 98728 103544 119884 125732 151618 197456 207088 209797 220031 239768 251464 303236 419594 440062 479536 502928 530663 606472 839188 880124 1061326 1212944 1288753 1678376 1760248 2122652 2577506 3356752 3520496 4245304 5155012 8490608 9021271 10310024 18042542 20620048 36085084 72170168 144340336