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144314324 = 2271129107151
BaseRepresentation
bin10001001101000…
…00111111010100
3101001112221000222
420212200333110
5243421024244
622153053512
73401436320
oct1046407724
9331487028
10144314324
1174509540
12403b7298
1323b8acbb
1415248980
15ca09bee
hex89a0fd4

144314324 has 96 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 53424000.

The previous prime is 144314323. The next prime is 144314327. The reversal of 144314324 is 423413441.

144314324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1443143242 = 41653248223153952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144314293 and 144314302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144314323) 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 31 ways as a sum of consecutive naturals, for example, 955649 + ... + 955799.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2144314324 is an apocalyptic number.

144314324 is a gapful number since it is divisible by the number (14) 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 144314324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

144314324 is an abundant number, since it is smaller than the sum of its proper divisors (186632236).

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

144314324 is a wasteful number, since it uses less digits than its factorization.

144314324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 307 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 144314324 is about 12013.0896941628. The cubic root of 144314324 is about 524.5293729497.

Adding to 144314324 its reverse (423413441), we get a palindrome (567727765).

The spelling of 144314324 in words is "one hundred forty-four million, three hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 107 116 151 154 203 214 302 308 319 406 428 604 638 749 812 1057 1177 1276 1498 1661 2114 2233 2354 2996 3103 3322 4228 4379 4466 4708 6206 6644 8239 8758 8932 11627 12412 16157 16478 17516 21721 23254 30653 32314 32956 34133 43442 46508 48169 61306 64628 68266 86884 96338 113099 122612 136532 177727 192676 226198 238931 337183 355454 452396 468553 477862 674366 710908 937106 955724 1244089 1348732 1874212 2488178 3279871 4976356 5154083 6559742 10308166 13119484 20616332 36078581 72157162 144314324