Base | Representation |
---|---|
bin | 1000010010000… |
… | …1010101110000 |
3 | 2102100221201200 |
4 | 2010201111300 |
5 | 32343131233 |
6 | 3240331200 |
7 | 601165353 |
oct | 204412560 |
9 | 72327650 |
10 | 34739568 |
11 | 18678396 |
12 | b773b00 |
13 | 7274376 |
14 | 488429a |
15 | 30b3313 |
hex | 2121570 |
34739568 has 120 divisors (see below), whose sum is σ = 107591328. Its totient is φ = 10407936.
The previous prime is 34739527. The next prime is 34739569. The reversal of 34739568 is 86593743.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34739569) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55996 + ... + 56612.
Almost surely, 234739568 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34739568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53795664).
34739568 is an abundant number, since it is smaller than the sum of its proper divisors (72851760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34739568 is a wasteful number, since it uses less digits than its factorization.
34739568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 671 (or 662 counting only the distinct ones).
The product of its digits is 544320, while the sum is 45.
The square root of 34739568 is about 5894.0281641675. The cubic root of 34739568 is about 326.2932861930.
It can be divided in two parts, 3473 and 9568, that added together give a triangular number (13041 = T161).
The spelling of 34739568 in words is "thirty-four million, seven hundred thirty-nine thousand, five hundred sixty-eight".
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