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343686343 = 75112132
BaseRepresentation
bin10100011111000…
…011110011000111
3212221201002000211
4110133003303013
51200440430333
654034220251
711342200000
oct2437036307
9787632024
10343686343
11167002700
1297124687
1356285500
14339061a7
152028cecd
hex147c3cc7

343686343 has 54 divisors (see below), whose sum is σ = 477239112. Its totient is φ = 247206960.

The previous prime is 343686341. The next prime is 343686347.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

343686343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343686343 - 21 = 343686341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343686296 and 343686305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343686341) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 26437405 + ... + 26437417.

Almost surely, 2343686343 is an apocalyptic number.

343686343 is a deficient number, since it is larger than the sum of its proper divisors (133552769).

343686343 is an frugal number, since it uses more digits than its factorization.

343686343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 31 counting only the distinct ones).

The product of its digits is 373248, while the sum is 40.

The square root of 343686343 is about 18538.7794366296. The cubic root of 343686343 is about 700.4665889234.

It can be divided in two parts, 343 and 686343, that added together give a palindrome (686686).

The spelling of 343686343 in words is "three hundred forty-three million, six hundred eighty-six thousand, three hundred forty-three".

Divisors: 1 7 11 13 49 77 91 121 143 169 343 539 637 847 1001 1183 1573 1859 2401 3773 4459 5929 7007 8281 11011 13013 16807 20449 26411 31213 41503 49049 57967 77077 91091 143143 184877 218491 290521 343343 405769 539539 637637 1002001 2033647 2403401 2840383 3776773 4463459 7014007 26437411 31244213 49098049 343686343