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345217138068 = 2231123629110681
BaseRepresentation
bin1010000011000001000…
…10110111110110010100
31020000001202221122020110
411001200202313312110
521124001041404233
6422331321203020
733640542154245
oct5014042676624
91200052848213
10345217138068
111234510903a0
1256aa4630470
1326727a178ca
14129cc574ccc
158ea71de663
hex50608b7d94

345217138068 has 48 divisors (see below), whose sum is σ = 878779661760. Its totient is φ = 104605881600.

The previous prime is 345217138067. The next prime is 345217138081. The reversal of 345217138068 is 860831712543.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345217138067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3063688 + ... + 3174368.

It is an arithmetic number, because the mean of its divisors is an integer number (18307909620).

Almost surely, 2345217138068 is an apocalyptic number.

It is an amenable number.

345217138068 is an abundant number, since it is smaller than the sum of its proper divisors (533562523692).

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

345217138068 is a wasteful number, since it uses less digits than its factorization.

345217138068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134328 (or 134326 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 345217138068 in words is "three hundred forty-five billion, two hundred seventeen million, one hundred thirty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 23629 47258 70887 94516 110681 141774 221362 259919 283548 332043 442724 519838 664086 779757 1039676 1217491 1328172 1559514 2434982 3119028 3652473 4869964 7304946 14609892 2615281349 5230562698 7845844047 10461125396 15691688094 28768094839 31383376188 57536189678 86304284517 115072379356 172608569034 345217138068