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34504434354 = 231323181106261
BaseRepresentation
bin100000001000100111…
…111110001010110010
310022001200011212200010
4200020213332022302
51031131113344404
623503501435350
72331023565345
oct401047761262
9108050155603
1034504434354
11136a6943255
12682b56bb56
13333b662080
14195478a45c
15d6e2e1189
hex8089fe2b2

34504434354 has 64 divisors (see below), whose sum is σ = 77977605888. Its totient is φ = 10098950400.

The previous prime is 34504434317. The next prime is 34504434373. The reversal of 34504434354 is 45343440543.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271584 + ... + 377844.

It is an arithmetic number, because the mean of its divisors is an integer number (1218400092).

Almost surely, 234504434354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34504434354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38988802944).

34504434354 is an abundant number, since it is smaller than the sum of its proper divisors (43473171534).

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

34504434354 is a wasteful number, since it uses less digits than its factorization.

34504434354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106483.

The product of its (nonzero) digits is 691200, while the sum is 39.

Adding to 34504434354 its reverse (45343440543), we get a palindrome (79847874897).

The spelling of 34504434354 in words is "thirty-four billion, five hundred four million, four hundred thirty-four thousand, three hundred fifty-four".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 181 299 362 543 598 897 1086 1794 2353 4163 4706 7059 8326 12489 14118 24978 54119 106261 108238 162357 212522 318783 324714 637566 1381393 2444003 2762786 4144179 4888006 7332009 8288358 14664018 19233241 31772039 38466482 57699723 63544078 95316117 115399446 190632234 250032133 442364543 500064266 750096399 884729086 1327093629 1500192798 2654187258 5750739059 11501478118 17252217177 34504434354