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34363450242 = 232111723443869
BaseRepresentation
bin100000000000001110…
…001010001110000010
310021200211220010211100
4200000032022032002
51030334020401432
623441503555230
72324362336062
oct400016121602
9107624803740
1034363450242
11136342a9860
1267b02bbb16
13331839bb14
14193db6b3a2
15d61c4307c
hex80038a382

34363450242 has 96 divisors (see below), whose sum is σ = 89739861120. Its totient is φ = 9374492160.

The previous prime is 34363450241. The next prime is 34363450271. The reversal of 34363450242 is 24205436343.

34363450242 is a `hidden beast` number, since 3 + 4 + 363 + 4 + 50 + 242 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34363450197 and 34363450206.

It is not an unprimeable number, because it can be changed into a prime (34363450241) 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, 144517 + ... + 299352.

It is an arithmetic number, because the mean of its divisors is an integer number (934790220).

Almost surely, 234363450242 is an apocalyptic number.

34363450242 is an abundant number, since it is smaller than the sum of its proper divisors (55376410878).

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

34363450242 is a wasteful number, since it uses less digits than its factorization.

34363450242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443928 (or 443925 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 34363450242 its reverse (24205436343), we get a palindrome (58568886585).

The spelling of 34363450242 in words is "thirty-four billion, three hundred sixty-three million, four hundred fifty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 23 33 34 46 51 66 69 99 102 138 153 187 198 207 253 306 374 391 414 506 561 759 782 1122 1173 1518 1683 2277 2346 3366 3519 4301 4554 7038 8602 12903 25806 38709 77418 443869 887738 1331607 2663214 3994821 4882559 7545773 7989642 9765118 10208987 14647677 15091546 20417974 22637319 29295354 30626961 43943031 45274638 61253922 67911957 83003503 87886062 91880883 112298857 135823914 166007006 173552779 183761766 224597714 249010509 336896571 347105558 498021018 520658337 673793142 747031527 1010689713 1041316674 1494063054 1561975011 1909080569 2021379426 3123950022 3818161138 5727241707 11454483414 17181725121 34363450242