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34132013334 = 233632074321
BaseRepresentation
bin11111110010011011…
…010011000100010110
310021002201101221002000
4133302123103010112
51024400243411314
623402515300130
72315552216646
oct376233230426
9107081357060
1034132013334
11135256a4891
1267468aa646
1332ac4587c3
14191b124526
15d4b779209
hex7f26d3116

34132013334 has 16 divisors (see below), whose sum is σ = 75848918640. Its totient is φ = 11377337760.

The previous prime is 34132013299. The next prime is 34132013389. The reversal of 34132013334 is 43331023143.

34132013334 is a `hidden beast` number, since 3 + 4 + 1 + 320 + 1 + 3 + 334 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34132013298 and 34132013307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316037107 + ... + 316037214.

It is an arithmetic number, because the mean of its divisors is an integer number (4740557415).

Almost surely, 234132013334 is an apocalyptic number.

34132013334 is an abundant number, since it is smaller than the sum of its proper divisors (41716905306).

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

34132013334 is a wasteful number, since it uses less digits than its factorization.

34132013334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632074332 (or 632074326 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 34132013334 its reverse (43331023143), we get a palindrome (77463036477).

The spelling of 34132013334 in words is "thirty-four billion, one hundred thirty-two million, thirteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 632074321 1264148642 1896222963 3792445926 5688668889 11377337778 17066006667 34132013334