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34310334312 = 23321013470417
BaseRepresentation
bin11111111101000011…
…100010011101101000
310021120010221120110200
4133331003202131220
51030231421144222
623432325312200
72323146013122
oct377503423550
9107503846420
1034310334312
111360731aaa1
126796565660
13330a392387
141936aa2212
15d5c24eeac
hex7fd0e2768

34310334312 has 48 divisors (see below), whose sum is σ = 93015751140. Its totient is φ = 11425463808.

The previous prime is 34310334283. The next prime is 34310334353. The reversal of 34310334312 is 21343301343.

34310334312 is a `hidden beast` number, since 3 + 4 + 3 + 10 + 334 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30462117156 + 3848217156 = 174534^2 + 62034^2 .

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, 162273 + ... + 308144.

Almost surely, 234310334312 is an apocalyptic number.

It is an amenable number.

34310334312 is an abundant number, since it is smaller than the sum of its proper divisors (58705416828).

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

34310334312 is a wasteful number, since it uses less digits than its factorization.

34310334312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471442 (or 471435 counting only the distinct ones).

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

Adding to 34310334312 its reverse (21343301343), we get a palindrome (55653635655).

The spelling of 34310334312 in words is "thirty-four billion, three hundred ten million, three hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1013 2026 3039 4052 6078 8104 9117 12156 18234 24312 36468 72936 470417 940834 1411251 1881668 2822502 3763336 4233753 5645004 8467506 11290008 16935012 33870024 476532421 953064842 1429597263 1906129684 2859194526 3812259368 4288791789 5718389052 8577583578 11436778104 17155167156 34310334312