Search a number
-
+
242344100 = 225223105367
BaseRepresentation
bin11100111000111…
…10000010100100
3121220000100121102
432130132002210
5444020002400
640014135232
76001614365
oct1634360244
9556010542
10242344100
11114884789
12691b1518
133b291a9b
1424285b6c
15164209d5
hexe71e0a4

242344100 has 36 divisors (see below), whose sum is σ = 548756544. Its totient is φ = 92722080.

The previous prime is 242344073. The next prime is 242344103. The reversal of 242344100 is 1443242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (242344103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50384 + ... + 54983.

Almost surely, 2242344100 is an apocalyptic number.

242344100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242344100 is an abundant number, since it is smaller than the sum of its proper divisors (306412444).

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

242344100 is a wasteful number, since it uses less digits than its factorization.

242344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105404 (or 105397 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 242344100 is about 15567.4050502966. The cubic root of 242344100 is about 623.4631895725.

Adding to 242344100 its reverse (1443242), we get a palindrome (243787342).

The spelling of 242344100 in words is "two hundred forty-two million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 105367 210734 421468 526835 1053670 2107340 2423441 2634175 4846882 5268350 9693764 10536700 12117205 24234410 48468820 60586025 121172050 242344100