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243241040 = 24571922861
BaseRepresentation
bin11100111111110…
…01000001010000
3121221200220222102
432133321001100
5444232203130
640045255532
76012341360
oct1637710120
9557626872
10243241040
11115337659
12695645a8
133b517113
142443a9a0
151654b645
hexe7f9050

243241040 has 80 divisors (see below), whose sum is σ = 680373120. Its totient is φ = 79004160.

The previous prime is 243241003. The next prime is 243241051. The reversal of 243241040 is 40142342.

243241040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791 + ... + 22070.

It is an arithmetic number, because the mean of its divisors is an integer number (8504664).

Almost surely, 2243241040 is an apocalyptic number.

243241040 is a gapful number since it is divisible by the number (20) 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 243241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340186560).

243241040 is an abundant number, since it is smaller than the sum of its proper divisors (437132080).

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

243241040 is a wasteful number, since it uses less digits than its factorization.

243241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22900 (or 22894 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 243241040 is about 15596.1867134245. The cubic root of 243241040 is about 624.2314093502.

Adding to 243241040 its reverse (40142342), we get a palindrome (283383382).

The spelling of 243241040 in words is "two hundred forty-three million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 22861 45722 91444 114305 160027 182888 228610 320054 365776 434359 457220 640108 800135 868718 914440 1280216 1600270 1737436 1828880 2171795 2560432 3040513 3200540 3474872 4343590 6081026 6401080 6949744 8687180 12162052 12802160 15202565 17374360 24324104 30405130 34748720 48648208 60810260 121620520 243241040