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344324212000 = 255386081053
BaseRepresentation
bin1010000001010110101…
…00101000010100100000
31012220202112202021221121
411000223110220110200
521120133444241000
6422102542502024
733606450340246
oct5005324502440
91186675667847
10344324212000
1112303304a86a
1256895594914
1326614a29ca2
1412945b3a796
158e53b0db1a
hex502b528520

344324212000 has 48 divisors (see below), whose sum is σ = 846004598712. Its totient is φ = 137729683200.

The previous prime is 344324211997. The next prime is 344324212003. The reversal of 344324212000 is 212423443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (344324211997) and next prime (344324212003).

It can be written as a sum of positive squares in 4 ways, for example, as 130994772624 + 213329439376 = 361932^2 + 461876^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (344324212003) by changing a digit.

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, 43036527 + ... + 43044526.

Almost surely, 2344324212000 is an apocalyptic number.

It is an amenable number.

344324212000 is an abundant number, since it is smaller than the sum of its proper divisors (501680386712).

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

344324212000 is an equidigital number, since it uses as much as digits as its factorization.

344324212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86081078 (or 86081060 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 344324212000 its reverse (212423443), we get a palindrome (344536635443).

The spelling of 344324212000 in words is "three hundred forty-four billion, three hundred twenty-four million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 86081053 172162106 344324212 430405265 688648424 860810530 1377296848 1721621060 2152026325 2754593696 3443242120 4304052650 6886484240 8608105300 10760131625 13772968480 17216210600 21520263250 34432421200 43040526500 68864842400 86081053000 172162106000 344324212000