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345057320180 = 22561823734337
BaseRepresentation
bin1010000010101110000…
…01001101110011110100
31012222122122020001022102
411001113001031303310
521123134133221210
6422303411521232
733633561554006
oct5012701156364
91188578201272
10345057320180
111233799528a1
1256a5abb9218
132670088c001
14129b5252376
158e98170ea5
hex505704dcf4

345057320180 has 48 divisors (see below), whose sum is σ = 736610260176. Its totient is φ = 135739822080.

The previous prime is 345057320177. The next prime is 345057320221. The reversal of 345057320180 is 81023750543.

It can be written as a sum of positive squares in 8 ways, for example, as 37389636496 + 307667683684 = 193364^2 + 554678^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10031972 + ... + 10066308.

It is an arithmetic number, because the mean of its divisors is an integer number (15346047087).

Almost surely, 2345057320180 is an apocalyptic number.

It is an amenable number.

345057320180 is an abundant number, since it is smaller than the sum of its proper divisors (391552939996).

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

345057320180 is a wasteful number, since it uses less digits than its factorization.

345057320180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42644 (or 42642 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 345057320180 in words is "three hundred forty-five billion, fifty-seven million, three hundred twenty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 8237 16474 32948 34337 41185 68674 82370 137348 164740 171685 343370 502457 686740 1004914 2009828 2094557 2512285 4189114 5024570 8378228 10049140 10472785 20945570 41891140 282833869 565667738 1131335476 1414169345 2828338690 5656677380 17252866009 34505732018 69011464036 86264330045 172528660090 345057320180