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344043040340443 = 1753381845771743
BaseRepresentation
bin100111000111001111100001…
…1001101001111100111011011
31200010011012020000120010121211
41032032133003031033213123
5330043300121311343233
63215415105114243551
7132316201156440103
oct11616370315174733
91603135200503554
10344043040340443
119a69391a0a7a54
1232705a1a1265b7
13119c81726b7572
1460d5ab4526203
1529b9537dce5cd
hex138e7c334f9db

344043040340443 has 8 divisors (see below), whose sum is σ = 371154090135168. Its totient is φ = 317695682089344.

The previous prime is 344043040340431. The next prime is 344043040340479.

344043040340443 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 344043040340443 - 29 = 344043040339931 is a prime.

It is a super-2 number, since 2×3440430403404432 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 344043040340396 and 344043040340405.

It is not an unprimeable number, because it can be changed into a prime (344043040340413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190922884971 + ... + 190922886772.

It is an arithmetic number, because the mean of its divisors is an integer number (46394261266896).

Almost surely, 2344043040340443 is an apocalyptic number.

344043040340443 is a deficient number, since it is larger than the sum of its proper divisors (27111049794725).

344043040340443 is a wasteful number, since it uses less digits than its factorization.

344043040340443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381845771813.

The product of its (nonzero) digits is 1327104, while the sum is 40.

The spelling of 344043040340443 in words is "three hundred forty-four trillion, forty-three billion, forty million, three hundred forty thousand, four hundred forty-three".

Divisors: 1 17 53 901 381845771743 6491378119631 20237825902379 344043040340443