Base | Representation |
---|---|
bin | 1101101001011011101… |
… | …0001010101010110000 |
3 | 211102011220222100002002 |
4 | 3122112322022222300 |
5 | 12320133234030212 |
6 | 255413124513132 |
7 | 22640065444106 |
oct | 3322672125260 |
9 | 742156870062 |
10 | 234460064432 |
11 | 904856596a0 |
12 | 3953424b7a8 |
13 | 19156717649 |
14 | b4c29dbc76 |
15 | 61738edac2 |
hex | 3696e8aab0 |
234460064432 has 160 divisors (see below), whose sum is σ = 545843188800. Its totient is φ = 96303513600.
The previous prime is 234460064413. The next prime is 234460064479.
234460064432 is nontrivially palindromic in base 10.
234460064432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15697544 + ... + 15712472.
It is an arithmetic number, because the mean of its divisors is an integer number (3411519930).
Almost surely, 2234460064432 is an apocalyptic number.
234460064432 is a gapful number since it is divisible by the number (22) 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 234460064432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272921594400).
234460064432 is an abundant number, since it is smaller than the sum of its proper divisors (311383124368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234460064432 is a wasteful number, since it uses less digits than its factorization.
234460064432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15175 (or 15169 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 38.
The spelling of 234460064432 in words is "two hundred thirty-four billion, four hundred sixty million, sixty-four thousand, four hundred thirty-two".
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