Base | Representation |
---|---|
bin | 11000000010001… |
… | …101110011010000 |
3 | 1001002202102001121 |
4 | 120002031303100 |
5 | 1311211442000 |
6 | 104002412024 |
7 | 12664301221 |
oct | 3002156320 |
9 | 1032672047 |
10 | 403234000 |
11 | 197684744 |
12 | b3061014 |
13 | 65704600 |
14 | 3b7a7248 |
15 | 25601b1a |
hex | 1808dcd0 |
403234000 has 120 divisors (see below), whose sum is σ = 1056675672. Its totient is φ = 148761600.
The previous prime is 403233997. The next prime is 403234001. The reversal of 403234000 is 432304.
It can be written as a sum of positive squares in 12 ways, for example, as 389036176 + 14197824 = 19724^2 + 3768^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (403234001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337404 + ... + 338596.
Almost surely, 2403234000 is an apocalyptic number.
403234000 is a gapful number since it is divisible by the number (40) 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 403234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528337836).
403234000 is an abundant number, since it is smaller than the sum of its proper divisors (653441672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
403234000 is a wasteful number, since it uses less digits than its factorization.
403234000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1242 (or 1213 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 16.
The square root of 403234000 is about 20080.6872392356. The cubic root of 403234000 is about 738.7866651714.
Adding to 403234000 its reverse (432304), we get a palindrome (403666304).
The spelling of 403234000 in words is "four hundred three million, two hundred thirty-four thousand".
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