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241416 = 23327479
BaseRepresentation
bin111010111100001000
3110021011100
4322330020
530211131
65101400
72023560
oct727410
9407140
10241416
1115541a
12b7860
1385b66
1463da0
154b7e6
hex3af08

241416 has 48 divisors (see below), whose sum is σ = 748800. Its totient is φ = 68832.

The previous prime is 241393. The next prime is 241421. The reversal of 241416 is 614142.

241416 = T120 + T121 + ... + T146.

241416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is an unprimeable number.

241416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (15600).

2241416 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 241416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374400).

241416 is an abundant number, since it is smaller than the sum of its proper divisors (507384).

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

241416 is a wasteful number, since it uses less digits than its factorization.

241416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 491 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 241416 is about 491.3410221018. The cubic root of 241416 is about 62.2666283540.

Adding to 241416 its reverse (614142), we get a palindrome (855558).

The spelling of 241416 in words is "two hundred forty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 479 504 958 1437 1916 2874 3353 3832 4311 5748 6706 8622 10059 11496 13412 17244 20118 26824 30177 34488 40236 60354 80472 120708 241416