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241066944 = 2632439733
BaseRepresentation
bin11100101111001…
…10001111000000
3121210121110200100
432113212033000
5443203120234
635530522400
75655015036
oct1627461700
9553543610
10241066944
11114092188
1268896400
133ac35681
1424032556
151626c399
hexe5e63c0

241066944 has 84 divisors (see below), whose sum is σ = 707116696. Its totient is φ = 78478848.

The previous prime is 241066909. The next prime is 241066957. The reversal of 241066944 is 449660142.

241066944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2410669442 = 116226542978998272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 241066899 and 241066908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19902 + ... + 29634.

Almost surely, 2241066944 is an apocalyptic number.

241066944 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 241066944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353558348).

241066944 is an abundant number, since it is smaller than the sum of its proper divisors (466049752).

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

241066944 is a wasteful number, since it uses less digits than its factorization.

241066944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9794 (or 9781 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 241066944 is about 15526.3306676111. The cubic root of 241066944 is about 622.3660407542.

The spelling of 241066944 in words is "two hundred forty-one million, sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 129 144 172 192 258 288 344 387 516 576 688 774 1032 1376 1548 2064 2752 3096 4128 6192 8256 9733 12384 19466 24768 29199 38932 58398 77864 87597 116796 155728 175194 233592 311456 350388 418519 467184 622912 700776 837038 934368 1255557 1401552 1674076 1868736 2511114 2803104 3348152 3766671 5022228 5606208 6696304 7533342 10044456 13392608 15066684 20088912 26785216 30133368 40177824 60266736 80355648 120533472 241066944