Search a number
-
+
534430000 = 2454134111
BaseRepresentation
bin11111110110101…
…100000100110000
31101020121212010201
4133312230010300
52043303230000
6125010404544
716146402646
oct3766540460
91336555121
10534430000
11254743195
1212ab90754
138694b590
1450d99196
1531db996a
hex1fdac130

534430000 has 100 divisors (see below), whose sum is σ = 1393778848. Its totient is φ = 197280000.

The previous prime is 534429979. The next prime is 534430019. The reversal of 534430000 is 34435.

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 534430000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 127945 + ... + 132055.

Almost surely, 2534430000 is an apocalyptic number.

534430000 is a gapful number since it is divisible by the number (50) 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 534430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696889424).

534430000 is an abundant number, since it is smaller than the sum of its proper divisors (859348848).

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

534430000 is a wasteful number, since it uses less digits than its factorization.

534430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 534430000 is about 23117.7421042800. The cubic root of 534430000 is about 811.5157312076.

Adding to 534430000 its reverse (34435), we get a palindrome (534464435).

It can be divided in two parts, 5344 and 30000, that added together give a square (35344 = 1882).

The spelling of 534430000 in words is "five hundred thirty-four million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 4111 5000 5200 6500 8125 8222 10000 13000 16250 16444 20555 26000 32500 32888 41110 53443 65000 65776 82220 102775 106886 130000 164440 205550 213772 267215 328880 411100 427544 513875 534430 822200 855088 1027750 1068860 1336075 1644400 2055500 2137720 2569375 2672150 4111000 4275440 5138750 5344300 6680375 8222000 10277500 10688600 13360750 20555000 21377200 26721500 33401875 41110000 53443000 66803750 106886000 133607500 267215000 534430000