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434300000 = 255543101
BaseRepresentation
bin11001111000101…
…110010001100000
31010021012201121012
4121320232101200
51342140100000
6111032320052
713522326521
oct3170562140
91107181535
10434300000
11203173022
12101543028
136bc90864
1441972848
15281db735
hex19e2e460

434300000 has 144 divisors (see below), whose sum is σ = 1104398064. Its totient is φ = 168000000.

The previous prime is 434299997. The next prime is 434300011. The reversal of 434300000 is 3434.

It is a congruent number.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 4299950 + ... + 4300050.

It is an arithmetic number, because the mean of its divisors is an integer number (7669431).

Almost surely, 2434300000 is an apocalyptic number.

434300000 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 434300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552199032).

434300000 is an abundant number, since it is smaller than the sum of its proper divisors (670098064).

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

434300000 is an equidigital number, since it uses as much as digits as its factorization.

434300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 434300000 is about 20839.8656425611. The cubic root of 434300000 is about 757.2918386587.

Adding to 434300000 its reverse (3434), we get a palindrome (434303434).

The spelling of 434300000 in words is "four hundred thirty-four million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 101 125 160 172 200 202 215 250 344 400 404 430 500 505 625 688 800 808 860 1000 1010 1075 1250 1376 1616 1720 2000 2020 2150 2500 2525 3125 3232 3440 4000 4040 4300 4343 5000 5050 5375 6250 6880 8080 8600 8686 10000 10100 10750 12500 12625 16160 17200 17372 20000 20200 21500 21715 25000 25250 26875 34400 34744 40400 43000 43430 50000 50500 53750 63125 69488 80800 86000 86860 100000 101000 107500 108575 126250 134375 138976 172000 173720 202000 215000 217150 252500 268750 315625 347440 404000 430000 434300 505000 537500 542875 631250 694880 860000 868600 1010000 1075000 1085750 1262500 1737200 2020000 2150000 2171500 2525000 2714375 3474400 4300000 4343000 5050000 5428750 8686000 10100000 10857500 13571875 17372000 21715000 27143750 43430000 54287500 86860000 108575000 217150000 434300000