Base | Representation |
---|---|
bin | 11001110001110… |
… | …000000000000000 |
3 | 1010010202212010212 |
4 | 121301300000000 |
5 | 1341203101224 |
6 | 110525213252 |
7 | 13500644333 |
oct | 3161600000 |
9 | 1103685125 |
10 | 432472064 |
11 | 202134732 |
12 | 100a01228 |
13 | 6b7a083b |
14 | 4161861a |
15 | 27e79d0e |
hex | 19c70000 |
432472064 has 34 divisors (see below), whose sum is σ = 865068600. Its totient is φ = 216203264.
The previous prime is 432472063. The next prime is 432472087. The reversal of 432472064 is 460274234.
It is a super-2 number, since 2×4324720642 = 374064172280840192, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a zygodrome in base 2.
It is a self number, because there is not a number n which added to its sum of digits gives 432472064.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (432472063) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62237 + ... + 68835.
Almost surely, 2432472064 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 432472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432534300).
432472064 is an abundant number, since it is smaller than the sum of its proper divisors (432596536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
432472064 is an frugal number, since it uses more digits than its factorization.
432472064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6631 (or 6601 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 32.
The square root of 432472064 is about 20795.9626850983. The cubic root of 432472064 is about 756.2278831134.
The spelling of 432472064 in words is "four hundred thirty-two million, four hundred seventy-two thousand, sixty-four".
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