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241213032 = 23336118307
BaseRepresentation
bin11100110000010…
…01111001101000
3121210212220002000
432120021321220
5443222304112
635534011000
75656163664
oct1630117150
9553786060
10241213032
11114181a15
1268946a60
133ac87008
142406d8a4
151629a7dc
hexe609e68

241213032 has 64 divisors (see below), whose sum is σ = 681057600. Its totient is φ = 79081920.

The previous prime is 241213031. The next prime is 241213081. The reversal of 241213032 is 230312142.

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

It is a junction number, because it is equal to n+sod(n) for n = 241212996 and 241213014.

It is not an unprimeable number, because it can be changed into a prime (241213031) 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 15 ways as a sum of consecutive naturals, for example, 4023 + ... + 22329.

It is an arithmetic number, because the mean of its divisors is an integer number (10641525).

Almost surely, 2241213032 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 241213032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340528800).

241213032 is an abundant number, since it is smaller than the sum of its proper divisors (439844568).

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

241213032 is a wasteful number, since it uses less digits than its factorization.

241213032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18383 (or 18373 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 241213032 is about 15531.0344793900. The cubic root of 241213032 is about 622.4917345397.

Adding to 241213032 its reverse (230312142), we get a palindrome (471525174).

The spelling of 241213032 in words is "two hundred forty-one million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1647 2196 3294 4392 6588 13176 18307 36614 54921 73228 109842 146456 164763 219684 329526 439368 494289 659052 988578 1116727 1318104 1977156 2233454 3350181 3954312 4466908 6700362 8933816 10050543 13400724 20101086 26801448 30151629 40202172 60303258 80404344 120606516 241213032