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343251234441 = 3419721511013
BaseRepresentation
bin1001111111010110101…
…11100010111010001001
31012210222202202101110000
410333223113202322021
521110434304000231
6421404253113213
733541041231633
oct4775327427211
91183882671400
10343251234441
11122632411955
1256636188809
13264a364ac1b
1412883433a53
158dde8146e6
hex4feb5e2e89

343251234441 has 20 divisors (see below), whose sum is σ = 515360873412. Its totient is φ = 227672551008.

The previous prime is 343251234419. The next prime is 343251234457. The reversal of 343251234441 is 144432152343.

343251234441 is a `hidden beast` number, since 34 + 32 + 512 + 3 + 44 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 303578960400 + 39672274041 = 550980^2 + 199179^2 .

It is not a de Polignac number, because 343251234441 - 215 = 343251201673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343251234396 and 343251234405.

It is not an unprimeable number, because it can be changed into a prime (343251234481) 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 19 ways as a sum of consecutive naturals, for example, 10739550 + ... + 10771463.

Almost surely, 2343251234441 is an apocalyptic number.

It is an amenable number.

343251234441 is a deficient number, since it is larger than the sum of its proper divisors (172109638971).

343251234441 is a wasteful number, since it uses less digits than its factorization.

343251234441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21511222 (or 21511213 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 343251234441 its reverse (144432152343), we get a palindrome (487683386784).

The spelling of 343251234441 in words is "three hundred forty-three billion, two hundred fifty-one million, two hundred thirty-four thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 197 591 1773 5319 15957 21511013 64533039 193599117 580797351 1742392053 4237669561 12713008683 38139026049 114417078147 343251234441