Search a number
-
+
24345345100 = 22523721373079
BaseRepresentation
bin10110101011000110…
…000111110001001100
32022211200001200010011
4112223012013301030
5344324402020400
615103433123004
71521205006336
oct265306076114
968750050104
1024345345100
11a36334911a
124875259464
1323aca1285b
14126d454456
159774aa8ba
hex5ab187c4c

24345345100 has 72 divisors (see below), whose sum is σ = 54300239840. Its totient is φ = 9467435520.

The previous prime is 24345345077. The next prime is 24345345109. The reversal of 24345345100 is 154354342.

It is not an unprimeable number, because it can be changed into a prime (24345345109) by changing a digit.

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, 7905361 + ... + 7908439.

Almost surely, 224345345100 is an apocalyptic number.

24345345100 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 24345345100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27150119920).

24345345100 is an abundant number, since it is smaller than the sum of its proper divisors (29954894740).

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

24345345100 is a wasteful number, since it uses less digits than its factorization.

24345345100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5267 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 24345345100 its reverse (154354342), we get a palindrome (24499699442).

The spelling of 24345345100 in words is "twenty-four billion, three hundred forty-five million, three hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 2137 3079 3700 4274 6158 8548 10685 12316 15395 21370 30790 42740 53425 61580 76975 79069 106850 113923 153950 158138 213700 227846 307900 316276 395345 455692 569615 790690 1139230 1581380 1976725 2278460 2848075 3953450 5696150 6579823 7906900 11392300 13159646 26319292 32899115 65798230 131596460 164495575 243453451 328991150 486906902 657982300 973813804 1217267255 2434534510 4869069020 6086336275 12172672550 24345345100