Search a number
-
+
243100104 = 233133892003
BaseRepresentation
bin11100111110101…
…10100111001000
3121221102202122120
432133112213020
5444213200404
640042251240
76011213442
oct1637264710
9557382576
10243100104
11115250785
12694b6b20
133b497c20
1424401492
151651e9d9
hexe7d69c8

243100104 has 64 divisors (see below), whose sum is σ = 656510400. Its totient is φ = 74570496.

The previous prime is 243100103. The next prime is 243100141. The reversal of 243100104 is 401001342.

It is not an unprimeable number, because it can be changed into a prime (243100103) 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, 120367 + ... + 122369.

It is an arithmetic number, because the mean of its divisors is an integer number (10257975).

Almost surely, 2243100104 is an apocalyptic number.

243100104 is a gapful number since it is divisible by the number (24) 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 243100104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328255200).

243100104 is an abundant number, since it is smaller than the sum of its proper divisors (413410296).

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

243100104 is a wasteful number, since it uses less digits than its factorization.

243100104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 243100104 is about 15591.6677748084. The cubic root of 243100104 is about 624.1108243332.

Adding to 243100104 its reverse (401001342), we get a palindrome (644101446).

The spelling of 243100104 in words is "two hundred forty-three million, one hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 389 778 1167 1556 2003 2334 3112 4006 4668 5057 6009 8012 9336 10114 12018 15171 16024 20228 24036 26039 30342 40456 48072 52078 60684 78117 104156 121368 156234 208312 312468 624936 779167 1558334 2337501 3116668 4675002 6233336 9350004 10129171 18700008 20258342 30387513 40516684 60775026 81033368 121550052 243100104