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2430940000 = 2554121547
BaseRepresentation
bin1001000011100101…
…0011001101100000
320021102020112202211
42100321103031200
514434310040000
61041115251504
7114145435426
oct22071231540
96242215684
102430940000
111038225225
1257a149b94
132c982c748
14190bd5116
15e36387ba
hex90e53360

2430940000 has 60 divisors (see below), whose sum is σ = 5980526244. Its totient is φ = 972368000.

The previous prime is 2430939991. The next prime is 2430940019. The reversal of 2430940000 is 490342.

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 9 ways as a sum of consecutive naturals, for example, 40774 + ... + 80773.

Almost surely, 22430940000 is an apocalyptic number.

2430940000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430940000 is an abundant number, since it is smaller than the sum of its proper divisors (3549586244).

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

2430940000 is an equidigital number, since it uses as much as digits as its factorization.

2430940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121577 (or 121554 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2430940000 is about 49304.5636832941. The cubic root of 2430940000 is about 1344.5947563705.

The spelling of 2430940000 in words is "two billion, four hundred thirty million, nine 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 121547 243094 486188 607735 972376 1215470 1944752 2430940 3038675 3889504 4861880 6077350 9723760 12154700 15193375 19447520 24309400 30386750 48618800 60773500 75966875 97237600 121547000 151933750 243094000 303867500 486188000 607735000 1215470000 2430940000