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345434080434543 = 33101126671830009
BaseRepresentation
bin100111010001010111010001…
…1101010000101100101101111
31200022002011201222220112212000
41032202232203222011211233
5330234042444042401133
63222402120435143343
7132521534351235402
oct11642564352054557
91608064658815760
10345434080434543
11a007a852a59331
12328ab532744b53
1311a993a8c3b769
146143154b95d39
1529e07ee632413
hex13a2ba3a8596f

345434080434543 has 16 divisors (see below), whose sum is σ = 516821066440800. Its totient is φ = 228009294014400.

The previous prime is 345434080434517. The next prime is 345434080434551.

345434080434543 is a `hidden beast` number, since 3 + 4 + 5 + 43 + 40 + 80 + 434 + 54 + 3 = 666.

345434080434543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345434080434543 - 26 = 345434080434479 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 345434080434543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345434080434503) 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, 63335912278 + ... + 63335917731.

It is an arithmetic number, because the mean of its divisors is an integer number (32301316652550).

Almost surely, 2345434080434543 is an apocalyptic number.

345434080434543 is a deficient number, since it is larger than the sum of its proper divisors (171386986006257).

345434080434543 is a wasteful number, since it uses less digits than its factorization.

345434080434543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126671830119 (or 126671830113 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 54.

The spelling of 345434080434543 in words is "three hundred forty-five trillion, four hundred thirty-four billion, eighty million, four hundred thirty-four thousand, five hundred forty-three".

Divisors: 1 3 9 27 101 303 909 2727 126671830009 380015490027 1140046470081 3420139410243 12793854830909 38381564492727 115144693478181 345434080434543