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24342203440 = 2451723717549
BaseRepresentation
bin10110101010111010…
…001000110000110000
32022211110011001120101
4112222322020300300
5344323101002230
615103241522144
71521136213102
oct265272106060
968743131511
1024342203440
11a3615a2805
1248741a3354
1323ac182899
14126cc77572
15977089aca
hex5aae88c30

24342203440 has 80 divisors (see below), whose sum is σ = 59957992800. Its totient is φ = 9159045120.

The previous prime is 24342203407. The next prime is 24342203443. The reversal of 24342203440 is 4430224342.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 24342203399 and 24342203408.

It is not an unprimeable number, because it can be changed into a prime (24342203443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3220786 + ... + 3228334.

It is an arithmetic number, because the mean of its divisors is an integer number (749474910).

Almost surely, 224342203440 is an apocalyptic number.

24342203440 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 24342203440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29978996400).

24342203440 is an abundant number, since it is smaller than the sum of its proper divisors (35615789360).

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

24342203440 is a wasteful number, since it uses less digits than its factorization.

24342203440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9950 (or 9944 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 24342203440 its reverse (4430224342), we get a palindrome (28772427782).

The spelling of 24342203440 in words is "twenty-four billion, three hundred forty-two million, two hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 2371 4742 7549 9484 11855 15098 18968 23710 30196 37745 37936 40307 47420 60392 75490 80614 94840 120784 128333 150980 161228 189680 201535 256666 301960 322456 403070 513332 603920 641665 644912 806140 1026664 1283330 1612280 2053328 2566660 3224560 5133320 10266640 17898679 35797358 71594716 89493395 143189432 178986790 286378864 304277543 357973580 608555086 715947160 1217110172 1431894320 1521387715 2434220344 3042775430 4868440688 6085550860 12171101720 24342203440