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144235344 = 243111716069
BaseRepresentation
bin10001001100011…
…01101101010000
3101001101220200210
420212031231100
5243411012334
622151244120
73400660131
oct1046155520
9331356623
10144235344
1174465170
1240379640
1323b61076
1415227c88
15c9e15e9
hex898db50

144235344 has 80 divisors (see below), whose sum is σ = 430418880. Its totient is φ = 41134080.

The previous prime is 144235337. The next prime is 144235349. The reversal of 144235344 is 443532441.

It is a super-4 number, since 4×1442353444 (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144235349) 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, 942 + ... + 17010.

It is an arithmetic number, because the mean of its divisors is an integer number (5380236).

Almost surely, 2144235344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144235344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215209440).

144235344 is an abundant number, since it is smaller than the sum of its proper divisors (286183536).

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

144235344 is a wasteful number, since it uses less digits than its factorization.

144235344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16108 (or 16102 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 144235344 is about 12009.8019967025. The cubic root of 144235344 is about 524.4336677592.

Adding to 144235344 its reverse (443532441), we get a palindrome (587767785).

The spelling of 144235344 in words is "one hundred forty-four million, two hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 8976 16069 32138 48207 64276 96414 128552 176759 192828 257104 273173 353518 385656 530277 546346 707036 771312 819519 1060554 1092692 1414072 1639038 2121108 2185384 2828144 3004903 3278076 4242216 4370768 6009806 6556152 8484432 9014709 12019612 13112304 18029418 24039224 36058836 48078448 72117672 144235344