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34344208444 = 2271394352221
BaseRepresentation
bin11111111111000100…
…110000100000111100
310021122111200120001011
4133333010300200330
51030314104132234
623435535325004
72324036645410
oct377704604074
9107574616034
1034344208444
1113624457147
1267a5980764
1333143c2840
14193b39cd40
15d601e1b64
hex7ff13083c

34344208444 has 24 divisors (see below), whose sum is σ = 73972142048. Its totient is φ = 13586719680.

The previous prime is 34344208427. The next prime is 34344208501. The reversal of 34344208444 is 44480244343.

It is a super-2 number, since 2×343442084442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34344208397 and 34344208406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47175747 + ... + 47176474.

Almost surely, 234344208444 is an apocalyptic number.

It is an amenable number.

34344208444 is an abundant number, since it is smaller than the sum of its proper divisors (39627933604).

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

34344208444 is a wasteful number, since it uses less digits than its factorization.

34344208444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94352245 (or 94352243 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

The spelling of 34344208444 in words is "thirty-four billion, three hundred forty-four million, two hundred eight thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 94352221 188704442 377408884 660465547 1226578873 1320931094 2453157746 2641862188 4906315492 8586052111 17172104222 34344208444