Base | Representation |
---|---|
bin | 10101001000000… |
… | …011000100000000 |
3 | 220200220222020200 |
4 | 111020003010000 |
5 | 1211213244412 |
6 | 55100405200 |
7 | 11532421131 |
oct | 2510030400 |
9 | 820828220 |
10 | 354431232 |
11 | 172081481 |
12 | 9a846800 |
13 | 5857812c |
14 | 35101c88 |
15 | 211b19dc |
hex | 15203100 |
354431232 has 108 divisors (see below), whose sum is σ = 1082144700. Its totient is φ = 111181824.
The previous prime is 354431221. The next prime is 354431237. The reversal of 354431232 is 232134453.
It can be written as a sum of positive squares in 2 ways, for example, as 285474816 + 68956416 = 16896^2 + 8304^2 .
It is a junction number, because it is equal to n+sod(n) for n = 354431196 and 354431205.
It is not an unprimeable number, because it can be changed into a prime (354431237) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34644 + ... + 43692.
Almost surely, 2354431232 is an apocalyptic number.
354431232 is a gapful number since it is divisible by the number (32) 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 354431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541072350).
354431232 is an abundant number, since it is smaller than the sum of its proper divisors (727713468).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
354431232 is a wasteful number, since it uses less digits than its factorization.
354431232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9088 (or 9071 counting only the distinct ones).
The product of its digits is 8640, while the sum is 27.
The square root of 354431232 is about 18826.3440954424. The cubic root of 354431232 is about 707.6915251021.
Adding to 354431232 its reverse (232134453), we get a palindrome (586565685).
The spelling of 354431232 in words is "three hundred fifty-four million, four hundred thirty-one thousand, two hundred thirty-two".
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