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241298304 = 2731348337
BaseRepresentation
bin11100110000111…
…10101110000000
3121211001020001020
432120132232000
5443233021204
635535505440
75660000412
oct1630365600
9554036036
10241298304
1111422aa95
1268988280
133acb6a80
14240929b2
15162b5bd9
hexe61eb80

241298304 has 64 divisors (see below), whose sum is σ = 690266640. Its totient is φ = 74244096.

The previous prime is 241298303. The next prime is 241298339. The reversal of 241298304 is 403892142.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241298303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19177 + ... + 29160.

Almost surely, 2241298304 is an apocalyptic number.

241298304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241298304 is an abundant number, since it is smaller than the sum of its proper divisors (448968336).

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

241298304 is a wasteful number, since it uses less digits than its factorization.

241298304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48367 (or 48355 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 241298304 is about 15533.7794499600. The cubic root of 241298304 is about 622.5650789205.

The spelling of 241298304 in words is "two hundred forty-one million, two hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 48337 96674 145011 193348 290022 386696 580044 628381 773392 1160088 1256762 1546784 1885143 2320176 2513524 3093568 3770286 4640352 5027048 6187136 7540572 9280704 10054096 15081144 18561408 20108192 30162288 40216384 60324576 80432768 120649152 241298304