Base | Representation |
---|---|
bin | 11001111001010… |
… | …101001011001100 |
3 | 1010021111211011200 |
4 | 121321111023030 |
5 | 1342210144330 |
6 | 111035545500 |
7 | 13523562210 |
oct | 3171251314 |
9 | 1107454150 |
10 | 434459340 |
11 | 203271807 |
12 | 1015bb290 |
13 | 6c018243 |
14 | 419b4940 |
15 | 2821da60 |
hex | 19e552cc |
434459340 has 144 divisors (see below), whose sum is σ = 1511328000. Its totient is φ = 98962560.
The previous prime is 434459321. The next prime is 434459369. The reversal of 434459340 is 43954434.
It is a happy number.
It is a super-2 number, since 2×4344593402 = 377509836226471200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 434459295 and 434459304.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628395 + ... + 629085.
Almost surely, 2434459340 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 434459340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755664000).
434459340 is an abundant number, since it is smaller than the sum of its proper divisors (1076868660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
434459340 is a wasteful number, since it uses less digits than its factorization.
434459340 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1212 (or 1207 counting only the distinct ones).
The product of its (nonzero) digits is 103680, while the sum is 36.
The square root of 434459340 is about 20843.6882532819. The cubic root of 434459340 is about 757.3844414121.
The spelling of 434459340 in words is "four hundred thirty-four million, four hundred fifty-nine thousand, three hundred forty".
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