Search a number
-
+
434235000 = 2335428949
BaseRepresentation
bin11001111000011…
…110011001111000
31010021002102102210
4121320132121320
51342131010000
6111031055120
713521636153
oct3170363170
91107072383
10434235000
11203129201
121015114a0
136bc6a0b4
1441956c9a
15281c7350
hex19e1e678

434235000 has 80 divisors (see below), whose sum is σ = 1356597000. Its totient is φ = 115792000.

The previous prime is 434234993. The next prime is 434235007. The reversal of 434235000 is 532434.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (434234993) and next prime (434235007).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434235007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 526 + ... + 29474.

Almost surely, 2434235000 is an apocalyptic number.

434235000 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 434235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678298500).

434235000 is an abundant number, since it is smaller than the sum of its proper divisors (922362000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434235000 is a wasteful number, since it uses less digits than its factorization.

434235000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28978 (or 28959 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 434235000 is about 20838.3060731913. The cubic root of 434235000 is about 757.2540564609.

Adding to 434235000 its reverse (532434), we get a palindrome (434767434).

The spelling of 434235000 in words is "four hundred thirty-four million, two hundred thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3750 5000 7500 15000 28949 57898 86847 115796 144745 173694 231592 289490 347388 434235 578980 694776 723725 868470 1157960 1447450 1736940 2171175 2894900 3473880 3618625 4342350 5789800 7237250 8684700 10855875 14474500 17369400 18093125 21711750 28949000 36186250 43423500 54279375 72372500 86847000 108558750 144745000 217117500 434235000