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241211088 = 24332831973
BaseRepresentation
bin11100110000010…
…01011011010000
3121210212210102000
432120021123100
5443222223323
635533554000
75656155216
oct1630113320
9553783360
10241211088
11114180508
1268945900
133ac86171
142406ccb6
1516299e43
hexe6096d0

241211088 has 80 divisors (see below), whose sum is σ = 695163840. Its totient is φ = 80078976.

The previous prime is 241211081. The next prime is 241211101. The reversal of 241211088 is 880112142.

241211088 is digitally balanced in base 3, 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241211081) 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, 121270 + ... + 123242.

It is an arithmetic number, because the mean of its divisors is an integer number (8689548).

Almost surely, 2241211088 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 241211088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347581920).

241211088 is an abundant number, since it is smaller than the sum of its proper divisors (453952752).

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

241211088 is a wasteful number, since it uses less digits than its factorization.

241211088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 241211088 is about 15530.9718948944. The cubic root of 241211088 is about 622.4900622597.

The spelling of 241211088 in words is "two hundred forty-one million, two hundred eleven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 283 432 566 849 1132 1698 1973 2264 2547 3396 3946 4528 5094 5919 6792 7641 7892 10188 11838 13584 15282 15784 17757 20376 23676 30564 31568 35514 40752 47352 53271 61128 71028 94704 106542 122256 142056 213084 284112 426168 558359 852336 1116718 1675077 2233436 3350154 4466872 5025231 6700308 8933744 10050462 13400616 15075693 20100924 26801232 30151386 40201848 60302772 80403696 120605544 241211088