Base | Representation |
---|---|
bin | 11111111101110101… |
… | …011100101101010000 |
3 | 10021121001120021211100 |
4 | 133331311130231100 |
5 | 1030243243333221 |
6 | 23433513544400 |
7 | 2323365144603 |
oct | 377565345520 |
9 | 107531507740 |
10 | 34323417936 |
11 | 13613746a05 |
12 | 679aa15100 |
13 | 330ccc3672 |
14 | 193870a33a |
15 | d5d486926 |
hex | 7fdd5cb50 |
34323417936 has 120 divisors (see below), whose sum is σ = 98194786560. Its totient is φ = 11187088128.
The previous prime is 34323417917. The next prime is 34323417941. The reversal of 34323417936 is 63971432343.
It is a happy number.
34323417936 is a `hidden beast` number, since 343 + 234 + 1 + 79 + 3 + 6 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 34323417891 and 34323417900.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10549686 + ... + 10552938.
It is an arithmetic number, because the mean of its divisors is an integer number (818289888).
Almost surely, 234323417936 is an apocalyptic number.
34323417936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34323417936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49097393280).
34323417936 is an abundant number, since it is smaller than the sum of its proper divisors (63871368624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34323417936 is a wasteful number, since it uses less digits than its factorization.
34323417936 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4873 (or 4864 counting only the distinct ones).
The product of its digits is 979776, while the sum is 45.
The spelling of 34323417936 in words is "thirty-four billion, three hundred twenty-three million, four hundred seventeen thousand, nine hundred thirty-six".
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