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2424905343 = 347193153137
BaseRepresentation
bin1001000010001001…
…0001111001111111
320020222212221210000
42100202101321333
514431233432333
61040342045343
7114043232610
oct22042217177
96228787700
102424905343
111034883303
12578119853
132c84c8a43
141900a3c07
15e2d45713
hex90891e7f

2424905343 has 160 divisors (see below), whose sum is σ = 4616663040. Its totient is φ = 1237317120.

The previous prime is 2424905333. The next prime is 2424905363. The reversal of 2424905343 is 3435094242.

2424905343 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2424905343 - 25 = 2424905311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2424905298 and 2424905307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424905323) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17699971 + ... + 17700107.

It is an arithmetic number, because the mean of its divisors is an integer number (28854144).

Almost surely, 22424905343 is an apocalyptic number.

2424905343 is a deficient number, since it is larger than the sum of its proper divisors (2191757697).

2424905343 is a wasteful number, since it uses less digits than its factorization.

2424905343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2424905343 is about 49243.3279033820. The cubic root of 2424905343 is about 1343.4812102059.

Adding to 2424905343 its reverse (3435094242), we get a palindrome (5859999585).

The spelling of 2424905343 in words is "two billion, four hundred twenty-four million, nine hundred five thousand, three hundred forty-three".

Divisors: 1 3 7 9 19 21 27 31 53 57 63 81 93 133 137 159 171 189 217 279 371 399 411 477 513 567 589 651 837 959 1007 1113 1197 1233 1431 1539 1643 1767 1953 2511 2603 2877 3021 3339 3591 3699 4123 4247 4293 4929 5301 5859 7049 7261 7809 8631 9063 10017 10773 11097 11501 12369 12741 14787 15903 17577 18221 21147 21783 23427 25893 27189 29729 30051 31217 34503 37107 38223 44361 47709 50827 54663 63441 65349 70281 77679 80693 81567 89187 93651 103509 111321 114669 133083 137959 152481 163989 190323 196047 210843 218519 225091 242079 267561 280953 310527 333963 344007 413877 457443 491967 564851 570969 588141 655557 675273 726237 802683 842859 931581 965713 1241631 1372329 1475901 1575637 1694553 1966671 2025819 2178711 2408049 2528577 2897139 3724893 4116987 4276729 4726911 5083659 5900013 6077457 6536133 8691417 11174679 12830187 14180733 15250977 17700039 18232371 26074251 29937103 38490561 42542199 45752931 78222753 89811309 115471683 127626597 269433927 346415049 808301781 2424905343