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241316064 = 25331125391
BaseRepresentation
bin11100110001000…
…11000011100000
3121211002010102000
432120203003200
5443234103224
635540124000
75660103243
oct1630430340
9554063360
10241316064
11114242370
1268996600
133acc1b92
142409925a
15162bb0c9
hexe6230e0

241316064 has 96 divisors (see below), whose sum is σ = 767854080. Its totient is φ = 73123200.

The previous prime is 241316041. The next prime is 241316083. The reversal of 241316064 is 460613142.

241316064 is a `hidden beast` number, since 24 + 1 + 31 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3192 + ... + 22199.

It is an arithmetic number, because the mean of its divisors is an integer number (7998480).

Almost surely, 2241316064 is an apocalyptic number.

241316064 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 241316064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383927040).

241316064 is an abundant number, since it is smaller than the sum of its proper divisors (526538016).

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

241316064 is a wasteful number, since it uses less digits than its factorization.

241316064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25421 (or 25407 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 241316064 is about 15534.3510968434. The cubic root of 241316064 is about 622.5803525250.

The spelling of 241316064 in words is "two hundred forty-one million, three hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 25391 50782 76173 101564 152346 203128 228519 279301 304692 406256 457038 558602 609384 685557 812512 837903 914076 1117204 1218768 1371114 1675806 1828152 2234408 2437536 2513709 2742228 3351612 3656304 4468816 5027418 5484456 6703224 7312608 7541127 8937632 10054836 10968912 13406448 15082254 20109672 21937824 26812896 30164508 40219344 60329016 80438688 120658032 241316064