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345182347347 = 3372283296987
BaseRepresentation
bin1010000010111100111…
…10001010000001010011
31012222222100111002100020
411001132132022001103
521123413140103342
6422324035354523
733636640353465
oct5013636120123
91188870432306
10345182347347
11123433488632
1256a94a52a43
1326720756196
14129c7aba135
158ea411b0ec
hex505e78a053

345182347347 has 24 divisors (see below), whose sum is σ = 474691363776. Its totient is φ = 223110138528.

The previous prime is 345182347339. The next prime is 345182347351. The reversal of 345182347347 is 743743281543.

It is not a de Polignac number, because 345182347347 - 23 = 345182347339 is a prime.

It is a super-3 number, since 3×3451823473473 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345182347347.

It is not an unprimeable number, because it can be changed into a prime (345182347247) 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 23 ways as a sum of consecutive naturals, for example, 1013788 + ... + 1310774.

It is an arithmetic number, because the mean of its divisors is an integer number (19778806824).

Almost surely, 2345182347347 is an apocalyptic number.

345182347347 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

345182347347 is a deficient number, since it is larger than the sum of its proper divisors (129509016429).

345182347347 is a wasteful number, since it uses less digits than its factorization.

345182347347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297347 (or 297310 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 51.

The spelling of 345182347347 in words is "three hundred forty-five billion, one hundred eighty-two million, three hundred forty-seven thousand, three hundred forty-seven".

Divisors: 1 3 37 111 283 849 1369 4107 10471 31413 296987 387427 890961 1162281 10988519 32965557 84047321 252141963 406575203 1219725609 3109750877 9329252631 115060782449 345182347347