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343461164343 = 31149121197381
BaseRepresentation
bin1001111111101111110…
…00010111010100110111
31012211112101202221010120
410333313320113110313
521111402024224333
6421441152423023
733546200504313
oct4776770272467
91184471687116
10343461164343
1112272a967340
1256694547a73
1326507ca0bbb
14128a327cb43
158e02e80db3
hex4ff7e17537

343461164343 has 16 divisors (see below), whose sum is σ = 500597373312. Its totient is φ = 207734324000.

The previous prime is 343461164341. The next prime is 343461164357.

343461164343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 343461164343 - 21 = 343461164341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343461164295 and 343461164304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343461164341) 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, 10582488 + ... + 10614893.

It is an arithmetic number, because the mean of its divisors is an integer number (31287335832).

Almost surely, 2343461164343 is an apocalyptic number.

343461164343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

343461164343 is a deficient number, since it is larger than the sum of its proper divisors (157136208969).

343461164343 is a wasteful number, since it uses less digits than its factorization.

343461164343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21197886.

The product of its digits is 746496, while the sum is 42.

The spelling of 343461164343 in words is "three hundred forty-three billion, four hundred sixty-one million, one hundred sixty-four thousand, three hundred forty-three".

Divisors: 1 3 11 33 491 1473 5401 16203 21197381 63592143 233171191 699513573 10407914071 31223742213 114487054781 343461164343