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345182535351 = 32226991689661
BaseRepresentation
bin1010000010111100111…
…10110111111010110111
31012222222100211122020100
411001132132313322313
521123413212112401
6422324043405143
733636642065553
oct5013636677267
91188870748210
10345182535351
111234335a6905
1256a94b237b3
13267207c0924
14129c7b28863
158ea4156b86
hex505e7b7eb7

345182535351 has 12 divisors (see below), whose sum is σ = 498619256200. Its totient is φ = 230111416080.

The previous prime is 345182535331. The next prime is 345182535371. The reversal of 345182535351 is 153535281543.

345182535351 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 82 + 535 + 35 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (345182535331) and next prime (345182535371).

It is not a de Polignac number, because 345182535351 - 26 = 345182535287 is a prime.

It is a super-3 number, since 3×3451825353513 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 345182535297 and 345182535306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345182535331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 640540 + ... + 1049121.

Almost surely, 2345182535351 is an apocalyptic number.

345182535351 is a deficient number, since it is larger than the sum of its proper divisors (153436720849).

345182535351 is a wasteful number, since it uses less digits than its factorization.

345182535351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712366 (or 1712363 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The spelling of 345182535351 in words is "three hundred forty-five billion, one hundred eighty-two million, five hundred thirty-five thousand, three hundred fifty-one".

Divisors: 1 3 9 22699 68097 204291 1689661 5068983 15206949 38353615039 115060845117 345182535351