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344241540 = 223251912453
BaseRepresentation
bin10100100001001…
…011010110000100
3212222202021121200
4110201023112010
51201111212130
654054142500
711350001436
oct2441132604
9788667550
10344241540
11167351845
1297351a30
135641b126
1433a0c656
152034c760
hex1484b584

344241540 has 36 divisors (see below), whose sum is σ = 1044199884. Its totient is φ = 91797696.

The previous prime is 344241533. The next prime is 344241593. The reversal of 344241540 is 45142443.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 91240704 + 253000836 = 9552^2 + 15906^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 956047 + ... + 956406.

Almost surely, 2344241540 is an apocalyptic number.

344241540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344241540 is an abundant number, since it is smaller than the sum of its proper divisors (699958344).

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

344241540 is a wasteful number, since it uses less digits than its factorization.

344241540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912468 (or 1912463 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 344241540 is about 18553.7473303912. The cubic root of 344241540 is about 700.8435680442.

Adding to 344241540 its reverse (45142443), we get a palindrome (389383983).

The spelling of 344241540 in words is "three hundred forty-four million, two hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1912453 3824906 5737359 7649812 9562265 11474718 17212077 19124530 22949436 28686795 34424154 38249060 57373590 68848308 86060385 114747180 172120770 344241540