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243320240 = 24531412393
BaseRepresentation
bin11101000000011…
…00010110110000
3121221211221121202
432200030112300
5444242221430
640051110332
76013121312
oct1640142660
9557757552
10243320240
11115391109
12695a23a8
133b544197
142445b7b2
1516564d45
hexe80c5b0

243320240 has 80 divisors (see below), whose sum is σ = 598461696. Its totient is φ = 91852800.

The previous prime is 243320221. The next prime is 243320257. The reversal of 243320240 is 42023342.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100484 + ... + 102876.

Almost surely, 2243320240 is an apocalyptic number.

243320240 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 243320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299230848).

243320240 is an abundant number, since it is smaller than the sum of its proper divisors (355141456).

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

243320240 is a wasteful number, since it uses less digits than its factorization.

243320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 243320240 is about 15598.7255889704. The cubic root of 243320240 is about 624.2991525276.

Adding to 243320240 its reverse (42023342), we get a palindrome (285343582).

The spelling of 243320240 in words is "two hundred forty-three million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 41 62 80 82 124 155 164 205 248 310 328 410 496 620 656 820 1240 1271 1640 2393 2480 2542 3280 4786 5084 6355 9572 10168 11965 12710 19144 20336 23930 25420 38288 47860 50840 74183 95720 98113 101680 148366 191440 196226 296732 370915 392452 490565 593464 741830 784904 981130 1186928 1483660 1569808 1962260 2967320 3041503 3924520 5934640 6083006 7849040 12166012 15207515 24332024 30415030 48664048 60830060 121660120 243320240