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242376321 = 3113147712
BaseRepresentation
bin11100111001001…
…01111010000001
3121220001222210210
432130211322001
5444022020241
640014544333
76002110335
oct1634457201
9556058723
10242376321
111148a6a10
12692080a9
133b2a3655
14242937c5
151642a316
hexe725e81

242376321 has 48 divisors (see below), whose sum is σ = 376971264. Its totient is φ = 137172000.

The previous prime is 242376317. The next prime is 242376341. The reversal of 242376321 is 123673242.

242376321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242376321 - 22 = 242376317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242376301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3413716 + ... + 3413786.

It is an arithmetic number, because the mean of its divisors is an integer number (7853568).

Almost surely, 2242376321 is an apocalyptic number.

It is an amenable number.

242376321 is a deficient number, since it is larger than the sum of its proper divisors (134594943).

242376321 is a wasteful number, since it uses less digits than its factorization.

242376321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 163 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 242376321 is about 15568.4399025721. The cubic root of 242376321 is about 623.4908193177.

The spelling of 242376321 in words is "two hundred forty-two million, three hundred seventy-six thousand, three hundred twenty-one".

Divisors: 1 3 11 31 33 47 71 93 141 213 341 517 781 1023 1457 1551 2201 2343 3337 4371 5041 6603 10011 15123 16027 24211 36707 48081 55451 72633 103447 110121 156271 166353 236927 310341 468813 710781 1137917 1718981 2606197 3413751 5156943 7344737 7818591 22034211 80792107 242376321