Search a number
-
+
24234340200 = 2335277973039
BaseRepresentation
bin10110100100011110…
…101010111101101000
32022112221012001000120
4112210132222331220
5344112442341300
615044430003240
71515356331030
oct264436527550
968487161016
1024234340200
11a306720534
124844046520
132392a17c95
14125c7da8c0
1596c8803a0
hex5a47aaf68

24234340200 has 192 divisors, whose sum is σ = 86946816000. Its totient is φ = 5469085440.

The previous prime is 24234340127. The next prime is 24234340217. The reversal of 24234340200 is 204343242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295281 + ... + 368319.

It is an arithmetic number, because the mean of its divisors is an integer number (452848000).

Almost surely, 224234340200 is an apocalyptic number.

24234340200 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 24234340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43473408000).

24234340200 is an abundant number, since it is smaller than the sum of its proper divisors (62712475800).

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

24234340200 is a wasteful number, since it uses less digits than its factorization.

24234340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73144 (or 73135 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 24234340200 its reverse (204343242), we get a palindrome (24438683442).

The spelling of 24234340200 in words is "twenty-four billion, two hundred thirty-four million, three hundred forty thousand, two hundred".