| Base | Representation |
|---|---|
| bin | 11001111010101… |
| … | …011110110000000 |
| 3 | 1010022011212010200 |
| 4 | 121322223312000 |
| 5 | 1342303024321 |
| 6 | 111051325200 |
| 7 | 13526601165 |
| oct | 3172536600 |
| 9 | 1108155120 |
| 10 | 434814336 |
| 11 | 2034944a0 |
| 12 | 101750800 |
| 13 | 6c1109b8 |
| 14 | 41a6806c |
| 15 | 2828dd26 |
| hex | 19eabd80 |
434814336 has 96 divisors (see below), whose sum is σ = 1365010920. Its totient is φ = 131758080.
The previous prime is 434814301. The next prime is 434814337. The reversal of 434814336 is 633418434.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×4348143362 = 378127013582241792, which contains 22 as substring.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
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 self number, because there is not a number n which added to its sum of digits gives 434814336.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (434814337) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4485 + ... + 29828.
Almost surely, 2434814336 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 434814336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682505460).
434814336 is an abundant number, since it is smaller than the sum of its proper divisors (930196584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
434814336 is a wasteful number, since it uses less digits than its factorization.
434814336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 34344 (or 34329 counting only the distinct ones).
The product of its digits is 82944, while the sum is 36.
The square root of 434814336 is about 20852.2021858604. The cubic root of 434814336 is about 757.5906711057.
The spelling of 434814336 in words is "four hundred thirty-four million, eight hundred fourteen thousand, three hundred thirty-six".
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