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144434340 = 22355113263
BaseRepresentation
bin10001001101111…
…10010010100100
3101001210000200000
420212332102210
5243433344330
622155421300
73402446241
oct1046762244
9331700600
10144434340
1174590726
1240454830
1323c0080b
141527a5c8
15ca30560
hex89be4a4

144434340 has 144 divisors (see below), whose sum is σ = 460107648. Its totient is φ = 38029824.

The previous prime is 144434317. The next prime is 144434341. The reversal of 144434340 is 43434441.

It is a super-2 number, since 2×1444343402 = 41722557142471200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (144434341) 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 47 ways as a sum of consecutive naturals, for example, 549049 + ... + 549311.

It is an arithmetic number, because the mean of its divisors is an integer number (3195192).

Almost surely, 2144434340 is an apocalyptic number.

144434340 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 144434340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230053824).

144434340 is an abundant number, since it is smaller than the sum of its proper divisors (315673308).

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

144434340 is a wasteful number, since it uses less digits than its factorization.

144434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 144434340 is about 12018.0838738960. The cubic root of 144434340 is about 524.6747373013.

Adding to 144434340 its reverse (43434441), we get a palindrome (187868781).

The spelling of 144434340 in words is "one hundred forty-four million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 113 135 162 180 226 243 263 270 324 339 405 452 486 526 540 565 678 789 810 972 1017 1052 1130 1215 1315 1356 1578 1620 1695 2034 2260 2367 2430 2630 3051 3156 3390 3945 4068 4734 4860 5085 5260 6102 6780 7101 7890 9153 9468 10170 11835 12204 14202 15255 15780 18306 20340 21303 23670 27459 28404 29719 30510 35505 36612 42606 45765 47340 54918 59438 61020 63909 71010 85212 89157 91530 106515 109836 118876 127818 137295 142020 148595 178314 183060 213030 255636 267471 274590 297190 319545 356628 426060 445785 534942 549180 594380 639090 802413 891570 1069884 1278180 1337355 1604826 1783140 2407239 2674710 3209652 4012065 4814478 5349420 7221717 8024130 9628956 12036195 14443434 16048260 24072390 28886868 36108585 48144780 72217170 144434340