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4343114000 = 24532171557
BaseRepresentation
bin1000000101101111…
…01010100100010000
3102012200100001101002
410002313222210100
532343314122000
61554544001132
7212424600641
oct40267524420
912180301332
104343114000
111929635915
12a126001a8
13542a36554
142d2b4b6c8
151a644d8d5
hex102dea910

4343114000 has 40 divisors (see below), whose sum is σ = 10501654488. Its totient is φ = 1737244800.

The previous prime is 4343113963. The next prime is 4343114023. The reversal of 4343114000 is 4113434.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1281926416 + 3061187584 = 35804^2 + 55328^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 1083779 + ... + 1087778.

Almost surely, 24343114000 is an apocalyptic number.

4343114000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4343114000 is an abundant number, since it is smaller than the sum of its proper divisors (6158540488).

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

4343114000 is a wasteful number, since it uses less digits than its factorization.

4343114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171580 (or 2171564 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4343114000 is about 65902.3064846747. The cubic root of 4343114000 is about 1631.5500830281.

Adding to 4343114000 its reverse (4113434), we get a palindrome (4347227434).

The spelling of 4343114000 in words is "four billion, three hundred forty-three million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2171557 4343114 8686228 10857785 17372456 21715570 34744912 43431140 54288925 86862280 108577850 173724560 217155700 271444625 434311400 542889250 868622800 1085778500 2171557000 4343114000