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343314441 = 32293493769
BaseRepresentation
bin10100011101101…
…001000000001001
3212221000011212200
4110131221000021
51200342030231
654022230413
711336060511
oct2435510011
9787004780
10343314441
11166879248
1296b85409
1356185152
143384a841
1520217be6
hex14769009

343314441 has 24 divisors (see below), whose sum is σ = 514605000. Its totient is φ = 220292352.

The previous prime is 343314437. The next prime is 343314457. The reversal of 343314441 is 144413343.

343314441 is a `hidden beast` number, since 343 + 314 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 144504441 + 198810000 = 12021^2 + 14100^2 .

It is not a de Polignac number, because 343314441 - 22 = 343314437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (343314431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89205 + ... + 92973.

It is an arithmetic number, because the mean of its divisors is an integer number (21441875).

Almost surely, 2343314441 is an apocalyptic number.

It is an amenable number.

343314441 is a deficient number, since it is larger than the sum of its proper divisors (171290559).

343314441 is a wasteful number, since it uses less digits than its factorization.

343314441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153 (or 4150 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 343314441 is about 18528.7463418333. The cubic root of 343314441 is about 700.2138401104.

Adding to 343314441 its reverse (144413343), we get a palindrome (487727784).

The spelling of 343314441 in words is "three hundred forty-three million, three hundred fourteen thousand, four hundred forty-one".

Divisors: 1 3 9 29 87 261 349 1047 3141 3769 10121 11307 30363 33921 91089 109301 327903 983709 1315381 3946143 11838429 38146049 114438147 343314441