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345442713761 = 17257118166949
BaseRepresentation
bin1010000011011011111…
…11011000000010100001
31020000122111102001220202
411001231333120002201
521124431313320021
6422405540114545
733646251422315
oct5015577300241
91200574361822
10345442713761
11123557451792
1256b48095a55
1326762688152
1412a104d3b45
158ebbdeba0b
hex506dfd80a1

345442713761 has 16 divisors (see below), whose sum is σ = 367502475600. Its totient is φ = 323578429440.

The previous prime is 345442713697. The next prime is 345442713767. The reversal of 345442713761 is 167317244543.

It can be written as a sum of positive squares in 8 ways, for example, as 244969563136 + 100473150625 = 494944^2 + 316975^2 .

It is a cyclic number.

It is not a de Polignac number, because 345442713761 - 26 = 345442713697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345442713767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5126315 + ... + 5193263.

It is an arithmetic number, because the mean of its divisors is an integer number (22968904725).

Almost surely, 2345442713761 is an apocalyptic number.

It is an amenable number.

345442713761 is a deficient number, since it is larger than the sum of its proper divisors (22059761839).

345442713761 is a wasteful number, since it uses less digits than its factorization.

345442713761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68404.

The product of its digits is 1693440, while the sum is 47.

The spelling of 345442713761 in words is "three hundred forty-five billion, four hundred forty-two million, seven hundred thirteen thousand, seven hundred sixty-one".

Divisors: 1 17 257 1181 4369 20077 66949 303517 1138133 5159789 17205893 79066769 292500181 1344135073 20320159633 345442713761