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344240358401 = 821837750053
BaseRepresentation
bin1010000001001100101…
…00110000010000000001
31012220112200222002102202
411000212110300100001
521120001012432101
6422050345322545
733604411524152
oct5004624602001
91186480862382
10344240358401
11122a9a787375
1256871496455
132660054a884
141293894d929
158e4b59836b
hex5026530401

344240358401 has 8 divisors (see below), whose sum is σ = 344707682664. Its totient is φ = 343773152640.

The previous prime is 344240358379. The next prime is 344240358403. The reversal of 344240358401 is 104853042443.

It is a happy number.

It is a Cunningham number, because it is equal to 5867202+1.

It can be written as a sum of positive squares in 4 ways, for example, as 49451085376 + 294789273025 = 222376^2 + 542945^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-344240358401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344240358403) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6852491 + ... + 6902543.

It is an arithmetic number, because the mean of its divisors is an integer number (43088460333).

Almost surely, 2344240358401 is an apocalyptic number.

It is an amenable number.

344240358401 is a deficient number, since it is larger than the sum of its proper divisors (467324263).

344240358401 is an equidigital number, since it uses as much as digits as its factorization.

344240358401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59251.

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 344240358401 in words is "three hundred forty-four billion, two hundred forty million, three hundred fifty-eight thousand, four hundred one".

Divisors: 1 821 8377 50053 6877517 41093513 419293981 344240358401