Search a number
-
+
241944 = 23317593
BaseRepresentation
bin111011000100011000
3110021212220
4323010120
530220234
65104040
72025243
oct730430
9407786
10241944
1115585a
12b8020
1386181
146425a
154ba49
hex3b118

241944 has 32 divisors (see below), whose sum is σ = 641520. Its totient is φ = 75776.

The previous prime is 241939. The next prime is 241951. The reversal of 241944 is 449142.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 241944.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112 + ... + 704.

2241944 is an apocalyptic number.

241944 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 241944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320760).

241944 is an abundant number, since it is smaller than the sum of its proper divisors (399576).

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

241944 is a wasteful number, since it uses less digits than its factorization.

241944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 615 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 241944 is about 491.8780336628. The cubic root of 241944 is about 62.3119896676.

It can be divided in two parts, 24 and 1944, that multiplied together give a 6-th power (46656 = 66).

The spelling of 241944 in words is "two hundred forty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 593 1186 1779 2372 3558 4744 7116 10081 14232 20162 30243 40324 60486 80648 120972 241944