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241344144 = 24334211327
BaseRepresentation
bin11100110001010…
…01111010010000
3121211010112221000
432120221322100
5443241003034
635540502000
75660251146
oct1630517220
9554115830
10241344144
11114261478
12689aa900
133b0018b2
14240a5596
15162c4599
hexe629e90

241344144 has 80 divisors (see below), whose sum is σ = 694915840. Its totient is φ = 80196480.

The previous prime is 241344127. The next prime is 241344149. The reversal of 241344144 is 441443142.

241344144 is a `hidden beast` number, since 241 + 3 + 4 + 414 + 4 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241344149) 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 15 ways as a sum of consecutive naturals, for example, 181209 + ... + 182535.

It is an arithmetic number, because the mean of its divisors is an integer number (8686448).

Almost surely, 2241344144 is an apocalyptic number.

241344144 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 241344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347457920).

241344144 is an abundant number, since it is smaller than the sum of its proper divisors (453571696).

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

241344144 is a wasteful number, since it uses less digits than its factorization.

241344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1753 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 241344144 is about 15535.2548739955. The cubic root of 241344144 is about 622.6044998030.

Adding to 241344144 its reverse (441443142), we get a palindrome (682787286).

The spelling of 241344144 in words is "two hundred forty-one million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 421 432 842 1263 1327 1684 2526 2654 3368 3789 3981 5052 5308 6736 7578 7962 10104 10616 11367 11943 15156 15924 20208 21232 22734 23886 30312 31848 35829 45468 47772 60624 63696 71658 90936 95544 143316 181872 191088 286632 558667 573264 1117334 1676001 2234668 3352002 4469336 5028003 6704004 8938672 10056006 13408008 15084009 20112012 26816016 30168018 40224024 60336036 80448048 120672072 241344144