| Base | Representation |
|---|---|
| bin | 11000111000011… |
| … | …000101101101000 |
| 3 | 1002002110212110000 |
| 4 | 120320120231220 |
| 5 | 1323330400342 |
| 6 | 105231023000 |
| 7 | 13226064060 |
| oct | 3070305550 |
| 9 | 1062425400 |
| 10 | 417434472 |
| 11 | 1a46a3774 |
| 12 | b796aa60 |
| 13 | 68637060 |
| 14 | 3d6223a0 |
| 15 | 269a944c |
| hex | 18e18b68 |
417434472 has 160 divisors (see below), whose sum is σ = 1439222400. Its totient is φ = 110077056.
The previous prime is 417434467. The next prime is 417434477. The reversal of 417434472 is 274434714.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (417434467) and next prime (417434477).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (417434477) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55429 + ... + 62507.
It is an arithmetic number, because the mean of its divisors is an integer number (8995140).
Almost surely, 2417434472 is an apocalyptic number.
417434472 is a gapful number since it is divisible by the number (42) 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 417434472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719611200).
417434472 is an abundant number, since it is smaller than the sum of its proper divisors (1021787928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
417434472 is a wasteful number, since it uses less digits than its factorization.
417434472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7117 (or 7104 counting only the distinct ones).
The product of its digits is 75264, while the sum is 36.
The square root of 417434472 is about 20431.2131798383. The cubic root of 417434472 is about 747.3592891070.
The spelling of 417434472 in words is "four hundred seventeen million, four hundred thirty-four thousand, four hundred seventy-two".
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