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34024352046 = 2371233373919
BaseRepresentation
bin11111101100000000…
…100110100100101110
310020211012211011112220
4133230000212210232
51024140213231141
623344111540210
72313104135436
oct375400464456
9106735734486
1034024352046
111347a950313
12671682a666
133293061ab9
14190aadb2c6
15d420ae766
hex7ec02692e

34024352046 has 64 divisors (see below), whose sum is σ = 69564718080. Its totient is φ = 11091790080.

The previous prime is 34024352039. The next prime is 34024352077. The reversal of 34024352046 is 64025342043.

It is a super-2 number, since 2×340243520462 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34024351998 and 34024352016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37022775 + ... + 37023693.

It is an arithmetic number, because the mean of its divisors is an integer number (1086948720).

Almost surely, 234024352046 is an apocalyptic number.

34024352046 is an abundant number, since it is smaller than the sum of its proper divisors (35540366034).

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

34024352046 is a wasteful number, since it uses less digits than its factorization.

34024352046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601.

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 34024352046 its reverse (64025342043), we get a palindrome (98049694089).

The spelling of 34024352046 in words is "thirty-four billion, twenty-four million, three hundred fifty-two thousand, forty-six".

Divisors: 1 2 3 6 71 142 213 233 373 426 466 699 746 919 1119 1398 1838 2238 2757 5514 16543 26483 33086 49629 52966 65249 79449 86909 99258 130498 158898 173818 195747 214127 260727 342787 391494 428254 521454 642381 685574 1028361 1284762 2056722 6170539 12341078 15203017 18511617 24337877 30406034 37023234 45609051 48675754 73013631 79869371 91218102 146027262 159738742 239608113 479216226 5670725341 11341450682 17012176023 34024352046