Search a number
-
+
241444112 = 247131391193
BaseRepresentation
bin11100110010000…
…10010100010000
3121211022122001112
432121002110100
5443302202422
635542552452
75661145460
oct1631022420
9554278045
10241444112
1111431a598
1268a38728
133b038250
14240cdba0
15162e3ee2
hexe642510

241444112 has 80 divisors (see below), whose sum is σ = 580379520. Its totient is φ = 94749696.

The previous prime is 241444103. The next prime is 241444117. The reversal of 241444112 is 211444142.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (241444117) 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, 201788 + ... + 202980.

It is an arithmetic number, because the mean of its divisors is an integer number (7254744).

Almost surely, 2241444112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241444112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290189760).

241444112 is an abundant number, since it is smaller than the sum of its proper divisors (338935408).

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

241444112 is a wasteful number, since it uses less digits than its factorization.

241444112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1354 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 241444112 is about 15538.4719969500. The cubic root of 241444112 is about 622.6904516641.

Adding to 241444112 its reverse (211444142), we get a palindrome (452888254).

The spelling of 241444112 in words is "two hundred forty-one million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 139 182 208 278 364 556 728 973 1112 1193 1456 1807 1946 2224 2386 3614 3892 4772 7228 7784 8351 9544 12649 14456 15509 15568 16702 19088 25298 28912 31018 33404 50596 62036 66808 101192 108563 124072 133616 165827 202384 217126 248144 331654 434252 663308 868504 1160789 1326616 1737008 2155751 2321578 2653232 4311502 4643156 8623004 9286312 15090257 17246008 18572624 30180514 34492016 60361028 120722056 241444112