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243144 = 233211307
BaseRepresentation
bin111011010111001000
3110100112100
4323113020
530240034
65113400
72031606
oct732710
9410470
10243144
11156750
12b8860
1386895
1464876
154c099
hex3b5c8

243144 has 48 divisors (see below), whose sum is σ = 720720. Its totient is φ = 73440.

The previous prime is 243137. The next prime is 243149. The reversal of 243144 is 441342.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (243149) by changing a digit.

243144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 639 + ... + 945.

It is an arithmetic number, because the mean of its divisors is an integer number (15015).

2243144 is an apocalyptic number.

243144 is a gapful number since it is divisible by the number (24) 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 243144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360360).

243144 is an abundant number, since it is smaller than the sum of its proper divisors (477576).

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

243144 is a wasteful number, since it uses less digits than its factorization.

243144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 323 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 243144 is about 493.0963394713. The cubic root of 243144 is about 62.4148386802.

Adding to 243144 its reverse (441342), we get a palindrome (684486).

The spelling of 243144 in words is "two hundred forty-three thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 307 396 614 792 921 1228 1842 2456 2763 3377 3684 5526 6754 7368 10131 11052 13508 20262 22104 27016 30393 40524 60786 81048 121572 243144