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3430068600343 = 7311290912
BaseRepresentation
bin110001111010100000000…
…001010011111000010111
3110010220121101012210210111
4301322200001103320113
5422144240030202333
611143430214103451
7502546204021000
oct61724001237027
913126541183714
103430068600343
111102758337600
1247492b04ab87
131bb5b9801a48
14bc0326801a7
155e355cb74cd
hex31ea0053e17

3430068600343 has 36 divisors (see below), whose sum is σ = 4397265843600. Its totient is φ = 2672486724600.

The previous prime is 3430068600311. The next prime is 3430068600353.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3430068600343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3430068600343 - 25 = 3430068600311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3430068600296 and 3430068600305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430068600353) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 377299228 + ... + 377308318.

Almost surely, 23430068600343 is an apocalyptic number.

3430068600343 is a deficient number, since it is larger than the sum of its proper divisors (967197243257).

3430068600343 is an frugal number, since it uses more digits than its factorization.

3430068600343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18225 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 40.

The spelling of 3430068600343 in words is "three trillion, four hundred thirty billion, sixty-eight million, six hundred thousand, three hundred forty-three".

Divisors: 1 7 11 49 77 121 343 539 847 3773 5929 9091 41503 63637 100001 445459 700007 1100011 3118213 4900049 7700077 34300343 53900539 82646281 377303773 578523967 909109091 4049667769 6363763637 10000200001 28347674383 44546345459 70001400007 311824418213 490009800049 3430068600343