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344340402444 = 223219503421641
BaseRepresentation
bin1010000001011000100…
…10011001000100001100
31012220210200012212001200
411000230102121010030
521120202120334234
6422104321505500
733610035061563
oct5005422310414
91186720185050
10344340402444
111230411a89a5
125689aaa2290
13266181a842c
1412947d52bda
158e5525ad99
hex502c49910c

344340402444 has 36 divisors (see below), whose sum is σ = 916227388440. Its totient is φ = 108739074240.

The previous prime is 344340402443. The next prime is 344340402467. The reversal of 344340402444 is 444204043443.

344340402444 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 404 + 0 + 244 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 344340402399 and 344340402408.

It is not an unprimeable number, because it can be changed into a prime (344340402443) 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 11 ways as a sum of consecutive naturals, for example, 251710137 + ... + 251711504.

It is an arithmetic number, because the mean of its divisors is an integer number (25450760790).

Almost surely, 2344340402444 is an apocalyptic number.

It is an amenable number.

344340402444 is an abundant number, since it is smaller than the sum of its proper divisors (571886985996).

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

344340402444 is a wasteful number, since it uses less digits than its factorization.

344340402444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503421670 (or 503421665 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 344340402444 its reverse (444204043443), we get a palindrome (788544445887).

The spelling of 344340402444 in words is "three hundred forty-four billion, three hundred forty million, four hundred two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 503421641 1006843282 1510264923 2013686564 3020529846 4530794769 6041059692 9061589538 9565011179 18123179076 19130022358 28695033537 38260044716 57390067074 86085100611 114780134148 172170201222 344340402444