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144341340 = 2235111316823
BaseRepresentation
bin10001001101001…
…11100101011100
3101001121022002120
420212213211130
5243422410330
622153422540
73401611143
oct1046474534
9331538076
10144341340
1174527870
124040aa50
1323b9a3a0
141525475a
15ca12c10
hex89a795c

144341340 has 96 divisors (see below), whose sum is σ = 474840576. Its totient is φ = 32298240.

The previous prime is 144341333. The next prime is 144341369. The reversal of 144341340 is 43143441.

144341340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144341340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169 + ... + 16991.

It is an arithmetic number, because the mean of its divisors is an integer number (4946256).

Almost surely, 2144341340 is an apocalyptic number.

144341340 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 144341340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237420288).

144341340 is an abundant number, since it is smaller than the sum of its proper divisors (330499236).

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

144341340 is a wasteful number, since it uses less digits than its factorization.

144341340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16859 (or 16857 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 144341340 is about 12014.2140816618. The cubic root of 144341340 is about 524.5621019747.

Adding to 144341340 its reverse (43143441), we get a palindrome (187484781).

The spelling of 144341340 in words is "one hundred forty-four million, three hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 16823 33646 50469 67292 84115 100938 168230 185053 201876 218699 252345 336460 370106 437398 504690 555159 656097 740212 874796 925265 1009380 1093495 1110318 1312194 1850530 2186990 2220636 2405689 2624388 2775795 3280485 3701060 4373980 4811378 5551590 6560970 7217067 9622756 11103180 12028445 13121940 14434134 24056890 28868268 36085335 48113780 72170670 144341340