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430340000 = 255421517
BaseRepresentation
bin11001101001100…
…111011110100000
31002222202112111112
4121221213132200
51340131340000
6110411402452
713443554366
oct3151473640
91088675445
10430340000
11200a088a2
12100153428
136b20526c
1441221636
1527ba8235
hex19a677a0

430340000 has 60 divisors (see below), whose sum is σ = 1058750154. Its totient is φ = 172128000.

The previous prime is 430339997. The next prime is 430340003. The reversal of 430340000 is 43034.

It is an interprime number because it is at equal distance from previous prime (430339997) and next prime (430340003).

It can be written as a sum of positive squares in 5 ways, for example, as 524176 + 429815824 = 724^2 + 20732^2 .

It is not an unprimeable number, because it can be changed into a prime (430340003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9242 + ... + 30758.

Almost surely, 2430340000 is an apocalyptic number.

430340000 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 430340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529375077).

430340000 is an abundant number, since it is smaller than the sum of its proper divisors (628410154).

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

430340000 is an equidigital number, since it uses as much as digits as its factorization.

430340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21547 (or 21524 counting only the distinct ones).

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

The square root of 430340000 is about 20744.6378613848. The cubic root of 430340000 is about 754.9831143980.

Adding to 430340000 its reverse (43034), we get a palindrome (430383034).

Multiplying 430340000 by its reverse (43034), we get a square (18519251560000 = 43034002).

430340000 divided by its reverse (43034) gives a 4-th power (10000 = 104).

The spelling of 430340000 in words is "four hundred thirty million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 21517 43034 86068 107585 172136 215170 344272 430340 537925 688544 860680 1075850 1721360 2151700 2689625 3442720 4303400 5379250 8606800 10758500 13448125 17213600 21517000 26896250 43034000 53792500 86068000 107585000 215170000 430340000