Search a number
-
+
24340243400 = 23521112179091
BaseRepresentation
bin10110101010110010…
…101010001111001000
32022211022110110220022
4112222302222033020
5344322100242100
615103131520012
71521113440514
oct265262521710
968738413808
1024340243400
11a360484140
1248735b9008
1323ab9476b5
14126c8c7144
15976cede85
hex5aacaa3c8

24340243400 has 96 divisors (see below), whose sum is σ = 61793232480. Its totient is φ = 8842752000.

The previous prime is 24340243381. The next prime is 24340243469. The reversal of 24340243400 is 434204342.

It is a self number, because there is not a number n which added to its sum of digits gives 24340243400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2672855 + ... + 2681945.

It is an arithmetic number, because the mean of its divisors is an integer number (643679505).

Almost surely, 224340243400 is an apocalyptic number.

24340243400 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 24340243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30896616240).

24340243400 is an abundant number, since it is smaller than the sum of its proper divisors (37452989080).

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

24340243400 is a wasteful number, since it uses less digits than its factorization.

24340243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10335 (or 10326 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 24340243400 its reverse (434204342), we get a palindrome (24774447742).

The spelling of 24340243400 in words is "twenty-four billion, three hundred forty million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1217 2200 2434 4868 6085 9091 9736 12170 13387 18182 24340 26774 30425 36364 45455 48680 53548 60850 66935 72728 90910 100001 107096 121700 133870 181820 200002 227275 243400 267740 334675 363640 400004 454550 500005 535480 669350 800008 909100 1000010 1338700 1818200 2000020 2500025 2677400 4000040 5000050 10000100 11063747 20000200 22127494 44254988 55318735 88509976 110637470 121701217 221274940 243402434 276593675 442549880 486804868 553187350 608506085 973609736 1106374700 1217012170 2212749400 2434024340 3042530425 4868048680 6085060850 12170121700 24340243400