Base | Representation |
---|---|
bin | 11110000111101101… |
… | …110100011000000100 |
3 | 10002110221121220110000 |
4 | 132013231310120010 |
5 | 1012213434044434 |
6 | 22505123001300 |
7 | 2223312652521 |
oct | 360755643004 |
9 | 102427556400 |
10 | 32341706244 |
11 | 12797060651 |
12 | 6327209230 |
13 | 30855805b3 |
14 | 17cb452148 |
15 | c944d7b99 |
hex | 787b74604 |
32341706244 has 135 divisors (see below), whose sum is σ = 86265671877. Its totient is φ = 10565842176.
The previous prime is 32341706233. The next prime is 32341706249. The reversal of 32341706244 is 44260714323.
The square root of 32341706244 is 179838.
It is a perfect power (a square), and thus also a powerful number.
32341706244 is a `hidden beast` number, since 3 + 2 + 341 + 70 + 6 + 244 = 666.
It can be written as a sum of positive squares in only one way, i.e., 14522660100 + 17819046144 = 120510^2 + 133488^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 32341706199 and 32341706208.
It is not an unprimeable number, because it can be changed into a prime (32341706249) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 313997097 + ... + 313997199.
Almost surely, 232341706244 is an apocalyptic number.
32341706244 is the 179838-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 32341706244
32341706244 is an abundant number, since it is smaller than the sum of its proper divisors (53923965633).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32341706244 is an equidigital number, since it uses as much as digits as its factorization.
32341706244 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 416 (or 205 counting only the distinct ones).
The product of its (nonzero) digits is 96768, while the sum is 36.
Multiplying 32341706244 by its sum of digits (36), we get a square (1164301424784 = 10790282).
32341706244 divided by its sum of digits (36) gives a square (898380729 = 299732).
The spelling of 32341706244 in words is "thirty-two billion, three hundred forty-one million, seven hundred six thousand, two hundred forty-four".
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