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346704407643 = 3113432019257
BaseRepresentation
bin1010000101110010011…
…00010110110001011011
31020010220102111202112210
411002321030112301123
521140022312021033
6423135050410203
734022441561166
oct5027114266133
91203812452483
10346704407643
11124044666000
125723a730963
1326903ba0589
1412acdcc2add
159042a71d63
hex50b9316c5b

346704407643 has 32 divisors (see below), whose sum is σ = 520290093312. Its totient is φ = 205237179840.

The previous prime is 346704407597. The next prime is 346704407671.

346704407643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 346704407643 - 29 = 346704407131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 346704407592 and 346704407601.

It is not an unprimeable number, because it can be changed into a prime (346704407443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 837930 + ... + 1181327.

It is an arithmetic number, because the mean of its divisors is an integer number (16259065416).

Almost surely, 2346704407643 is an apocalyptic number.

346704407643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

346704407643 is a deficient number, since it is larger than the sum of its proper divisors (173585685669).

346704407643 is a wasteful number, since it uses less digits than its factorization.

346704407643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019336 (or 2019314 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 48.

The spelling of 346704407643 in words is "three hundred forty-six billion, seven hundred four million, four hundred seven thousand, six hundred forty-three".

Divisors: 1 3 11 33 43 121 129 363 473 1331 1419 3993 5203 15609 57233 171699 2019257 6057771 22211827 66635481 86828051 244330097 260484153 732990291 955108561 2687631067 2865325683 8062893201 10506194171 31518582513 115568135881 346704407643