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349005697941 = 3839967140627
BaseRepresentation
bin1010001010000100101…
…11000101001110010101
31020100211210210102100210
411011002113011032111
521204230424313231
6424155255200033
734133454325305
oct5050227051625
91210753712323
10349005697941
1112501568850a
1257781376019
1326bac8a7b04
1412c6b7a9605
159129aeaa46
hex51425c5395

349005697941 has 16 divisors (see below), whose sum is σ = 470998047744. Its totient is φ = 229842509424.

The previous prime is 349005697927. The next prime is 349005697991. The reversal of 349005697941 is 149796500943.

It is not a de Polignac number, because 349005697941 - 26 = 349005697877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349005697991) 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 15 ways as a sum of consecutive naturals, for example, 2411470 + ... + 2552096.

It is an arithmetic number, because the mean of its divisors is an integer number (29437377984).

Almost surely, 2349005697941 is an apocalyptic number.

It is an amenable number.

349005697941 is a deficient number, since it is larger than the sum of its proper divisors (121992349803).

349005697941 is a wasteful number, since it uses less digits than its factorization.

349005697941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150680.

The product of its (nonzero) digits is 7348320, while the sum is 57.

The spelling of 349005697941 in words is "three hundred forty-nine billion, five million, six hundred ninety-seven thousand, nine hundred forty-one".

Divisors: 1 3 83 249 9967 29901 140627 421881 827261 2481783 11672041 35016123 1401629309 4204887927 116335232647 349005697941