Base | Representation |
---|---|
bin | 11111101110011001… |
… | …111000001101110110 |
3 | 10020221000102112120000 |
4 | 133232121320031312 |
5 | 1024231010013332 |
6 | 23352105052130 |
7 | 2314102514241 |
oct | 375631701566 |
9 | 106830375500 |
10 | 34064532342 |
11 | 134a05a4375 |
12 | 6728187046 |
13 | 329b48c719 |
14 | 191219a258 |
15 | d45899b7c |
hex | 7ee678376 |
34064532342 has 80 divisors (see below), whose sum is σ = 79360512000. Its totient is φ = 10909280880.
The previous prime is 34064532259. The next prime is 34064532349. The reversal of 34064532342 is 24323546043.
34064532342 is a `hidden beast` number, since 3 + 4 + 0 + 645 + 3 + 2 + 3 + 4 + 2 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 34064532297 and 34064532306.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34064532349) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673659 + ... + 722457.
It is an arithmetic number, because the mean of its divisors is an integer number (992006400).
Almost surely, 234064532342 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34064532342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39680256000).
34064532342 is an abundant number, since it is smaller than the sum of its proper divisors (45295979658).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34064532342 is a wasteful number, since it uses less digits than its factorization.
34064532342 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 48983 (or 48974 counting only the distinct ones).
The product of its (nonzero) digits is 207360, while the sum is 36.
The spelling of 34064532342 in words is "thirty-four billion, sixty-four million, five hundred thirty-two thousand, three hundred forty-two".
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