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241081104 = 24311563811
BaseRepresentation
bin11100101111010…
…01101100010000
3121210122012002210
432113221230100
5443204043404
635531112120
75655104235
oct1627515420
9553565083
10241081104
111140a1890
12688a2640
133ac3bc54
142403778c
1516271689
hexe5e9b10

241081104 has 80 divisors (see below), whose sum is σ = 681456384. Its totient is φ = 72835200.

The previous prime is 241081103. The next prime is 241081111. The reversal of 241081104 is 401180142.

It is a happy number.

241081104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (241081103) 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, 296859 + ... + 297669.

Almost surely, 2241081104 is an apocalyptic number.

241081104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241081104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340728192).

241081104 is an abundant number, since it is smaller than the sum of its proper divisors (440375280).

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

241081104 is a wasteful number, since it uses less digits than its factorization.

241081104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 241081104 is about 15526.7866604781. The cubic root of 241081104 is about 622.3782262083.

The spelling of 241081104 in words is "two hundred forty-one million, eighty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 563 811 1126 1622 1689 2252 2433 3244 3378 4504 4866 6193 6488 6756 8921 9008 9732 12386 12976 13512 17842 18579 19464 24772 26763 27024 35684 37158 38928 49544 53526 71368 74316 99088 107052 142736 148632 214104 297264 428208 456593 913186 1369779 1826372 2739558 3652744 5022523 5479116 7305488 10045046 10958232 15067569 20090092 21916464 30135138 40180184 60270276 80360368 120540552 241081104