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241006688 = 25131753643
BaseRepresentation
bin11100101110101…
…11100001100000
3121210111102000122
432113113201200
5443144203223
635525335412
75654344256
oct1627274140
9553442018
10241006688
1111405098a
1268867568
133ac14110
14240185d6
15162595c8
hexe5d7860

241006688 has 96 divisors (see below), whose sum is σ = 552103776. Its totient is φ = 102555648.

The previous prime is 241006687. The next prime is 241006691. The reversal of 241006688 is 886600142.

241006688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241006687) 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, 374495 + ... + 375137.

It is an arithmetic number, because the mean of its divisors is an integer number (5751081).

Almost surely, 2241006688 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 241006688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276051888).

241006688 is an abundant number, since it is smaller than the sum of its proper divisors (311097088).

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

241006688 is a wasteful number, since it uses less digits than its factorization.

241006688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 241006688 is about 15524.3901007415. The cubic root of 241006688 is about 622.3141818355.

The spelling of 241006688 in words is "two hundred forty-one million, six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 53 68 104 106 136 208 212 221 272 416 424 442 544 643 689 848 884 901 1286 1378 1696 1768 1802 2572 2756 3536 3604 5144 5512 7072 7208 8359 10288 10931 11024 11713 14416 16718 20576 21862 22048 23426 28832 33436 34079 43724 46852 66872 68158 87448 93704 133744 136316 142103 174896 187408 267488 272632 284206 349792 374816 443027 545264 568412 579343 886054 1090528 1136824 1158686 1772108 2273648 2317372 3544216 4547296 4634744 7088432 7531459 9269488 14176864 15062918 18538976 30125836 60251672 120503344 241006688