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345828346141 = 601997577153
BaseRepresentation
bin1010000100001001111…
…10011100100100011101
31020001122101001020002111
411002010332130210131
521131224024034031
6422512113354021
733661643304055
oct5020476344435
91201571036074
10345828346141
111237350a4033
1257035268911
13267c4538ba5
1412a497d8565
158ee0bc31b1
hex5084f9c91d

345828346141 has 8 divisors (see below), whose sum is σ = 346751814584. Its totient is φ = 344906035200.

The previous prime is 345828346121. The next prime is 345828346153. The reversal of 345828346141 is 141643828543.

345828346141 = 4158292 + 4158302.

It can be written as a sum of positive squares in 4 ways, for example, as 172914588900 + 172913757241 = 415830^2 + 415829^2 .

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

It is a 6-Lehmer number, since φ(345828346141) divides (345828346141-1)6.

It is a cyclic number.

It is not a de Polignac number, because 345828346141 - 217 = 345828215069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345828346121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310621 + ... + 887773.

It is an arithmetic number, because the mean of its divisors is an integer number (43343976823).

Almost surely, 2345828346141 is an apocalyptic number.

345828346141 is the 415830-th centered square number.

It is an amenable number.

345828346141 is a deficient number, since it is larger than the sum of its proper divisors (923468443).

345828346141 is an equidigital number, since it uses as much as digits as its factorization.

345828346141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578751.

The product of its digits is 2211840, while the sum is 49.

The spelling of 345828346141 in words is "three hundred forty-five billion, eight hundred twenty-eight million, three hundred forty-six thousand, one hundred forty-one".

Divisors: 1 601 997 577153 599197 346868953 575421541 345828346141