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34513305104 = 2410092137841
BaseRepresentation
bin100000001001001001…
…110011111000010000
310022002021212120001102
4200021021303320100
51031140401230404
623504415523532
72331162152525
oct401111637020
9108067776042
1034513305104
1113700951a53
1268325295a8
133340449935
141955a1914c
15d6ee9471e
hex809273e10

34513305104 has 20 divisors (see below), whose sum is σ = 66935833020. Its totient is φ = 17239541760.

The previous prime is 34513305097. The next prime is 34513305121. The reversal of 34513305104 is 40150331543.

It can be written as a sum of positive squares in 2 ways, for example, as 25211088400 + 9302216704 = 158780^2 + 96448^2 .

It is a super-3 number, since 3×345133051043 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1052777 + ... + 1085064.

It is an arithmetic number, because the mean of its divisors is an integer number (3346791651).

Almost surely, 234513305104 is an apocalyptic number.

It is an amenable number.

34513305104 is a deficient number, since it is larger than the sum of its proper divisors (32422527916).

34513305104 is a wasteful number, since it uses less digits than its factorization.

34513305104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138858 (or 2138852 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 34513305104 its reverse (40150331543), we get a palindrome (74663636647).

The spelling of 34513305104 in words is "thirty-four billion, five hundred thirteen million, three hundred five thousand, one hundred four".

Divisors: 1 2 4 8 16 1009 2018 4036 8072 16144 2137841 4275682 8551364 17102728 34205456 2157081569 4314163138 8628326276 17256652552 34513305104