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340101441 = 32101374149
BaseRepresentation
bin10100010001011…
…000100101000001
3212200221221110200
4110101120211001
51144031221231
653425315413
711266546251
oct2421304501
9780857420
10340101441
11164a84279
1295a95b69
13555cb874
1433251961
151ecd0be6
hex14458941

340101441 has 12 divisors (see below), whose sum is σ = 496122900. Its totient is φ = 224488800.

The previous prime is 340101427. The next prime is 340101449. The reversal of 340101441 is 144101043.

It can be written as a sum of positive squares in 2 ways, for example, as 300675600 + 39425841 = 17340^2 + 6279^2 .

It is a de Polignac number, because none of the positive numbers 2k-340101441 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (340101449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186166 + ... + 187983.

It is an arithmetic number, because the mean of its divisors is an integer number (41343575).

Almost surely, 2340101441 is an apocalyptic number.

It is an amenable number.

340101441 is a deficient number, since it is larger than the sum of its proper divisors (156021459).

340101441 is a wasteful number, since it uses less digits than its factorization.

340101441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374256 (or 374253 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 340101441 is about 18441.8394147655. The cubic root of 340101441 is about 698.0226106035.

Adding to 340101441 its reverse (144101043), we get a palindrome (484202484).

The spelling of 340101441 in words is "three hundred forty million, one hundred one thousand, four hundred forty-one".

Divisors: 1 3 9 101 303 909 374149 1122447 3367341 37789049 113367147 340101441