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241100412 = 223747173353
BaseRepresentation
bin11100101111011…
…10011001111100
3121210200011120220
432113232121330
5443210203122
635531341340
75655214440
oct1627563174
9553604526
10241100412
11114105343
12688b1850
133ac47987
1424040820
151627725c
hexe5ee67c

241100412 has 96 divisors (see below), whose sum is σ = 662280192. Its totient is φ = 66840576.

The previous prime is 241100401. The next prime is 241100417. The reversal of 241100412 is 214001142.

241100412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 241100391 and 241100400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241100417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682828 + ... + 683180.

It is an arithmetic number, because the mean of its divisors is an integer number (6898752).

Almost surely, 2241100412 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 241100412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331140096).

241100412 is an abundant number, since it is smaller than the sum of its proper divisors (421179780).

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

241100412 is a wasteful number, since it uses less digits than its factorization.

241100412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 241100412 is about 15527.4084122239. The cubic root of 241100412 is about 622.3948410291.

Adding to 241100412 its reverse (214001142), we get a palindrome (455101554).

The spelling of 241100412 in words is "two hundred forty-one million, one hundred thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 173 188 282 329 346 353 519 564 658 692 706 987 1038 1059 1211 1316 1412 1974 2076 2118 2422 2471 3633 3948 4236 4844 4942 7266 7413 8131 9884 14532 14826 16262 16591 24393 29652 32524 33182 48786 49773 56917 61069 66364 97572 99546 113834 116137 122138 170751 183207 199092 227668 232274 244276 341502 348411 366414 427483 464548 683004 696822 732828 854966 1282449 1393644 1709932 2564898 2870243 5129796 5740486 8610729 11480972 17221458 20091701 34442916 40183402 60275103 80366804 120550206 241100412