Base | Representation |
---|---|
bin | 100000000001010111… |
… | …101111011000000000 |
3 | 10021202012012002221201 |
4 | 200001113233120000 |
5 | 1030403440121234 |
6 | 23443433230544 |
7 | 2325015313261 |
oct | 400127573000 |
9 | 107665162851 |
10 | 34382738944 |
11 | 13644183734 |
12 | 67b6862454 |
13 | 331c393558 |
14 | 194254c968 |
15 | d637a3314 |
hex | 8015ef600 |
34382738944 has 40 divisors (see below), whose sum is σ = 68851787400. Its totient is φ = 17152966656.
The previous prime is 34382738927. The next prime is 34382738947. The reversal of 34382738944 is 44983728343.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34382738947) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 155107 + ... + 304669.
It is an arithmetic number, because the mean of its divisors is an integer number (1721294685).
Almost surely, 234382738944 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 34382738944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34425893700).
34382738944 is an abundant number, since it is smaller than the sum of its proper divisors (34469048456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34382738944 is an equidigital number, since it uses as much as digits as its factorization.
34382738944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 150030 (or 150014 counting only the distinct ones).
The product of its digits is 13934592, while the sum is 55.
The spelling of 34382738944 in words is "thirty-four billion, three hundred eighty-two million, seven hundred thirty-eight thousand, nine hundred forty-four".
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