Base | Representation |
---|---|
bin | 11100000011010… |
… | …01110100000000 |
3 | 121101210012201100 |
4 | 32001221310000 |
5 | 440220030212 |
6 | 35203334400 |
7 | 5555065623 |
oct | 1601516400 |
9 | 541705640 |
10 | 235314432 |
11 | 110913241 |
12 | 66981400 |
13 | 399a0212 |
14 | 23375dba |
15 | 159d2bdc |
hex | e069d00 |
235314432 has 108 divisors (see below), whose sum is σ = 685424740. Its totient is φ = 77635584.
The previous prime is 235314421. The next prime is 235314433. The reversal of 235314432 is 234413532.
It can be written as a sum of positive squares in 2 ways, for example, as 77158656 + 158155776 = 8784^2 + 12576^2 .
It is a junction number, because it is equal to n+sod(n) for n = 235314396 and 235314405.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (235314433) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250668 + ... + 251604.
Almost surely, 2235314432 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 235314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342712370).
235314432 is an abundant number, since it is smaller than the sum of its proper divisors (450110308).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235314432 is a wasteful number, since it uses less digits than its factorization.
235314432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1068 (or 1051 counting only the distinct ones).
The product of its digits is 8640, while the sum is 27.
The square root of 235314432 is about 15339.9619295486. The cubic root of 235314432 is about 617.3756852251.
Adding to 235314432 its reverse (234413532), we get a palindrome (469727964).
The spelling of 235314432 in words is "two hundred thirty-five million, three hundred fourteen thousand, four hundred thirty-two".
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