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241424001 = 327133137257
BaseRepresentation
bin11100110001111…
…01011010000001
3121211021121110200
432120331122001
5443301032001
635542315413
75661033030
oct1630753201
9554247420
10241424001
11114306475
1268a28b69
133b02c050
14240c6717
15162dd086
hexe63d681

241424001 has 96 divisors (see below), whose sum is σ = 456787968. Its totient is φ = 119439360.

The previous prime is 241423969. The next prime is 241424011. The reversal of 241424001 is 100424142.

241424001 is a `hidden beast` number, since 241 + 424 + 0 + 0 + 1 = 666.

241424001 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 241424001 - 25 = 241423969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (241424011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 939265 + ... + 939521.

It is an arithmetic number, because the mean of its divisors is an integer number (4758208).

Almost surely, 2241424001 is an apocalyptic number.

241424001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

241424001 is a deficient number, since it is larger than the sum of its proper divisors (215363967).

241424001 is a wasteful number, since it uses less digits than its factorization.

241424001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 241424001 is about 15537.8248477707. The cubic root of 241424001 is about 622.6731622587.

Adding to 241424001 its reverse (100424142), we get a palindrome (341848143).

The spelling of 241424001 in words is "two hundred forty-one million, four hundred twenty-four thousand, one".

Divisors: 1 3 7 9 13 21 31 37 39 63 91 93 111 117 217 257 259 273 279 333 403 481 651 771 777 819 1147 1209 1443 1799 1953 2313 2331 2821 3341 3367 3441 3627 4329 5397 7967 8029 8463 9509 10023 10101 10323 14911 16191 23387 23901 24087 25389 28527 30069 30303 44733 55769 66563 70161 71703 72261 85581 103571 104377 123617 134199 167307 199689 210483 294779 310713 313131 370851 501921 599067 724997 865319 884337 932139 939393 1112553 2063453 2174991 2595957 2653011 3832127 6190359 6524973 7787871 11496381 18571077 26824889 34489143 80474667 241424001