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34171430328 = 2332767800457
BaseRepresentation
bin11111110100110001…
…101010010110111000
310021012110120112000200
4133310301222112320
51024440341232303
623410444202200
72316541236210
oct376461522670
9107173515020
1034171430328
1113545977412
126757b39360
1332b7679b79
141922465240
15d4ee633a3
hex7f4c6a5b8

34171430328 has 48 divisors (see below), whose sum is σ = 105768714480. Its totient is φ = 9763265664.

The previous prime is 34171430317. The next prime is 34171430341. The reversal of 34171430328 is 82303417143.

34171430328 is a `hidden beast` number, since 34 + 171 + 430 + 3 + 28 = 666.

It is a super-2 number, since 2×341714303282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34171430292 and 34171430301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33899725 + ... + 33900732.

It is an arithmetic number, because the mean of its divisors is an integer number (2203514885).

Almost surely, 234171430328 is an apocalyptic number.

It is an amenable number.

34171430328 is an abundant number, since it is smaller than the sum of its proper divisors (71597284152).

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

34171430328 is a wasteful number, since it uses less digits than its factorization.

34171430328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67800476 (or 67800469 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 34171430328 in words is "thirty-four billion, one hundred seventy-one million, four hundred thirty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 67800457 135600914 203401371 271201828 406802742 474603199 542403656 610204113 813605484 949206398 1220408226 1423809597 1627210968 1898412796 2440816452 2847619194 3796825592 4271428791 4881632904 5695238388 8542857582 11390476776 17085715164 34171430328