Base | Representation |
---|---|
bin | 1101101010100111111… |
… | …1111101110010100000 |
3 | 211110000020122121112120 |
4 | 3122221333331302200 |
5 | 12321312232223043 |
6 | 255505005424240 |
7 | 22651035030063 |
oct | 3325177756240 |
9 | 743006577476 |
10 | 234780351648 |
11 | 9062a42a177 |
12 | 3960356b080 |
13 | 191a7b994cb |
14 | b5133728da |
15 | 6191ab8983 |
hex | 36a9ffdca0 |
234780351648 has 96 divisors (see below), whose sum is σ = 643475581056. Its totient is φ = 74813088768.
The previous prime is 234780351629. The next prime is 234780351649. The reversal of 234780351648 is 846153087432.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a self number, because there is not a number n which added to its sum of digits gives 234780351648.
It is not an unprimeable number, because it can be changed into a prime (234780351649) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3795786 + ... + 3857142.
It is an arithmetic number, because the mean of its divisors is an integer number (6702870636).
Almost surely, 2234780351648 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 234780351648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321737790528).
234780351648 is an abundant number, since it is smaller than the sum of its proper divisors (408695229408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234780351648 is a wasteful number, since it uses less digits than its factorization.
234780351648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 63126 (or 63118 counting only the distinct ones).
The product of its (nonzero) digits is 3870720, while the sum is 51.
The spelling of 234780351648 in words is "two hundred thirty-four billion, seven hundred eighty million, three hundred fifty-one thousand, six hundred forty-eight".
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