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3430642460343 = 372326932637497
BaseRepresentation
bin110001111011000010001…
…110011010011010110111
3110010222002101000220201120
4301323002032122122313
5422201423432212333
611144003153555023
7502566342526140
oct61730216323267
913128071026646
103430642460343
111102a2226106a
12474a6b275a73
131bb67b677587
14bc088980ac7
155e38b36edb3
hex31ec239a6b7

3430642460343 has 32 divisors (see below), whose sum is σ = 5456962262016. Its totient is φ = 1874436757248.

The previous prime is 3430642460341. The next prime is 3430642460387.

It is a happy number.

3430642460343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3430642460343 - 21 = 3430642460341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3430642460295 and 3430642460304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430642460341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18030 + ... + 2619467.

It is an arithmetic number, because the mean of its divisors is an integer number (170530070688).

Almost surely, 23430642460343 is an apocalyptic number.

3430642460343 is a deficient number, since it is larger than the sum of its proper divisors (2026319801673).

3430642460343 is a wasteful number, since it uses less digits than its factorization.

3430642460343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640223.

The product of its (nonzero) digits is 1492992, while the sum is 42.

The spelling of 3430642460343 in words is "three trillion, four hundred thirty billion, six hundred forty-two million, four hundred sixty thousand, three hundred forty-three".

Divisors: 1 3 7 21 23 69 161 483 2693 8079 18851 56553 61939 185817 433573 1300719 2637497 7912491 18462479 55387437 60662431 181987293 424637017 1273911051 7102779421 21308338263 49719455947 149158367841 163363926683 490091780049 1143547486781 3430642460343