Base | Representation |
---|---|
bin | 11001101000110… |
… | …100101100101110 |
3 | 1002222100222012100 |
4 | 121220310230232 |
5 | 1340103211024 |
6 | 110403115530 |
7 | 13442030124 |
oct | 3150645456 |
9 | 1088328170 |
10 | 430132014 |
11 | 200886604 |
12 | 100072ba6 |
13 | 6b1616b0 |
14 | 411a9914 |
15 | 27b667c9 |
hex | 19a34b2e |
430132014 has 48 divisors (see below), whose sum is σ = 1012585392. Its totient is φ = 131169024.
The previous prime is 430131991. The next prime is 430132019. The reversal of 430132014 is 410231034.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (430132019) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18309 + ... + 34575.
It is an arithmetic number, because the mean of its divisors is an integer number (21095529).
Almost surely, 2430132014 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 430132014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506292696).
430132014 is an abundant number, since it is smaller than the sum of its proper divisors (582453378).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
430132014 is a wasteful number, since it uses less digits than its factorization.
430132014 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16401 (or 16398 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 430132014 is about 20739.6242492481. The cubic root of 430132014 is about 754.8614654522.
Adding to 430132014 its reverse (410231034), we get a palindrome (840363048).
It can be divided in two parts, 4301 and 32014, that added together give a triangular number (36315 = T269).
The spelling of 430132014 in words is "four hundred thirty million, one hundred thirty-two thousand, fourteen".
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