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34301477410343 = 1121388793245587
BaseRepresentation
bin1111100110010011011110…
…11000000101011000100111
311111110012002221022201010222
413303021233120011120213
513443443411204112333
6200541514200234555
710140125405166533
oct763115730053047
9144405087281128
1034301477410343
11aa251a1840200
123a1ba3346ba5b
13161a800179790
148682b3b30bc3
153e73d7ec9298
hex1f326f605627

34301477410343 has 24 divisors (see below), whose sum is σ = 40604151503664. Its totient is φ = 28784015187840.

The previous prime is 34301477410309. The next prime is 34301477410367.

34301477410343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34301477410343 - 26 = 34301477410279 is a prime.

It is a super-2 number, since 2×343014774103432 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34301477410294 and 34301477410303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34301477410843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139548596 + ... + 139794182.

It is an arithmetic number, because the mean of its divisors is an integer number (1691839645986).

Almost surely, 234301477410343 is an apocalyptic number.

34301477410343 is a deficient number, since it is larger than the sum of its proper divisors (6302674093321).

34301477410343 is a wasteful number, since it uses less digits than its factorization.

34301477410343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334415 (or 334404 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 44.

The spelling of 34301477410343 in words is "thirty-four trillion, three hundred one billion, four hundred seventy-seven million, four hundred ten thousand, three hundred forty-three".

Divisors: 1 11 13 121 143 1573 88793 245587 976723 1154309 2701457 3192631 10743953 12697399 29716027 35118941 139671389 386308351 21806406491 239870471401 283483284383 2638575185411 3118316128213 34301477410343