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353043441 = 345382237
BaseRepresentation
bin10101000010110…
…000001111110001
3220121022110120000
4111002300033301
51210334342231
655010540213
711514551112
oct2502601761
9817273500
10353043441
11171313843
129a297669
13581b055a
1434c60209
1520eda6e6
hex150b03f1

353043441 has 20 divisors (see below), whose sum is σ = 537343092. Its totient is φ = 230918688.

The previous prime is 353043413. The next prime is 353043451. The reversal of 353043441 is 144340353.

It can be written as a sum of positive squares in 2 ways, for example, as 311169600 + 41873841 = 17640^2 + 6471^2 .

It is not a de Polignac number, because 353043441 - 25 = 353043409 is a prime.

It is a super-3 number, since 3×3530434413 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (353043451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36826 + ... + 45411.

Almost surely, 2353043441 is an apocalyptic number.

It is an amenable number.

353043441 is a deficient number, since it is larger than the sum of its proper divisors (184299651).

353043441 is an equidigital number, since it uses as much as digits as its factorization.

353043441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82302 (or 82293 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 353043441 is about 18789.4502580570. The cubic root of 353043441 is about 706.7666512092.

Adding to 353043441 its reverse (144340353), we get a palindrome (497383794).

It can be divided in two parts, 3530 and 43441, that added together give a triangular number (46971 = T306).

The spelling of 353043441 in words is "three hundred fifty-three million, forty-three thousand, four hundred forty-one".

Divisors: 1 3 9 27 53 81 159 477 1431 4293 82237 246711 740133 2220399 4358561 6661197 13075683 39227049 117681147 353043441