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3436046406343 = 181331325717609
BaseRepresentation
bin110010000000000100010…
…100110101001011000111
3110011111000222111211000201
4302000010110311023013
5422244010340000333
611150255315151331
7503150301361555
oct62000424651307
913144028454021
103436046406343
111105245689741
12475b18ba5547
131bc0300c9865
14bc43c552bd5
155e5a59b917d
hex320045352c7

3436046406343 has 16 divisors (see below), whose sum is σ = 3466729113120. Its totient is φ = 3405499891200.

The previous prime is 3436046406337. The next prime is 3436046406361.

It is a happy number.

3436046406343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3436046406343 - 237 = 3298607452871 is a prime.

It is a super-4 number, since 4×34360464063434 (a number of 51 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3436046406293 and 3436046406302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3436046406743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195121323 + ... + 195138931.

It is an arithmetic number, because the mean of its divisors is an integer number (216670569570).

Almost surely, 23436046406343 is an apocalyptic number.

3436046406343 is a deficient number, since it is larger than the sum of its proper divisors (30682706777).

3436046406343 is a wasteful number, since it uses less digits than its factorization.

3436046406343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21378.

The product of its (nonzero) digits is 4478976, while the sum is 46.

It can be divided in two parts, 34360 and 46406343, that added together give a triangular number (46440703 = T9637).

The spelling of 3436046406343 in words is "three trillion, four hundred thirty-six billion, forty-six million, four hundred six thousand, three hundred forty-three".

Divisors: 1 181 331 3257 17609 59911 589517 1078067 3187229 5828579 57352513 195130127 1054972799 10380804853 18983681803 3436046406343