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241134312 = 23353293647
BaseRepresentation
bin11100101111101…
…10101011101000
3121210201220002110
432113312223220
5443212244222
635532202320
75655415326
oct1627665350
9553656073
10241134312
11114128861
12689093a0
133ac5a233
142404cd16
151628230c
hexe5f6ae8

241134312 has 64 divisors (see below), whose sum is σ = 617258880. Its totient is φ = 78470912.

The previous prime is 241134287. The next prime is 241134319. The reversal of 241134312 is 213431142.

241134312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (241134319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372373 + ... + 373019.

It is an arithmetic number, because the mean of its divisors is an integer number (9644670).

Almost surely, 2241134312 is an apocalyptic number.

It is a pronic number, being equal to 15528×15529.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241134312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308629440).

241134312 is an abundant number, since it is smaller than the sum of its proper divisors (376124568).

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

241134312 is a wasteful number, since it uses less digits than its factorization.

241134312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 998 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 241134312 is about 15528.4999919503. The cubic root of 241134312 is about 622.4240103368.

Adding to 241134312 its reverse (213431142), we get a palindrome (454565454).

The spelling of 241134312 in words is "two hundred forty-one million, one hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 293 318 424 586 636 647 879 1172 1272 1294 1758 1941 2344 2588 3516 3882 5176 7032 7764 15528 15529 31058 34291 46587 62116 68582 93174 102873 124232 137164 186348 189571 205746 274328 372696 379142 411492 568713 758284 822984 1137426 1516568 2274852 4549704 10047263 20094526 30141789 40189052 60283578 80378104 120567156 241134312