| Base | Representation |
|---|---|
| bin | 11001111000011… |
| … | …001010001110000 |
| 3 | 1010021001100122000 |
| 4 | 121320121101300 |
| 5 | 1342124322000 |
| 6 | 111030414000 |
| 7 | 13521521013 |
| oct | 3170312160 |
| 9 | 1107040560 |
| 10 | 434214000 |
| 11 | 203114450 |
| 12 | 101501300 |
| 13 | 6bc6067c |
| 14 | 4194d37a |
| 15 | 281c1000 |
| hex | 19e19470 |
434214000 has 640 divisors, whose sum is σ = 1838453760. Its totient is φ = 96768000.
The previous prime is 434213959. The next prime is 434214007. The reversal of 434214000 is 412434.
434214000 = T1 + T2 + ... + T1375.
434214000 is a nontrivial binomial coefficient, being equal to C(1377, 3).
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 (434214007) by changing a digit.
It is the 1375-th tetrahedral number.
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 127 ways as a sum of consecutive naturals, for example, 10097979 + ... + 10098021.
It is an arithmetic number, because the mean of its divisors is an integer number (2872584).
Almost surely, 2434214000 is an apocalyptic number.
434214000 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 434214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919226880).
434214000 is an abundant number, since it is smaller than the sum of its proper divisors (1404239760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
434214000 is a wasteful number, since it uses less digits than its factorization.
434214000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 103 (or 81 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 434214000 is about 20837.8021873709. The cubic root of 434214000 is about 757.2418490989.
Adding to 434214000 its reverse (412434), we get a palindrome (434626434).
The spelling of 434214000 in words is "four hundred thirty-four million, two hundred fourteen thousand".
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