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414302441 = 7108754449
BaseRepresentation
bin11000101100011…
…100000011101001
31001212120202002212
4120230130003221
51322030134231
6105035534505
713160340560
oct3054340351
91055522085
10414302441
111a2954613
12b68ba435
1367aab597
143d048bd7
152658b42b
hex18b1c0e9

414302441 has 8 divisors (see below), whose sum is σ = 473932800. Its totient is φ = 354783168.

The previous prime is 414302411. The next prime is 414302453. The reversal of 414302441 is 144203414.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414302441 - 210 = 414301417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414302411) 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 7 ways as a sum of consecutive naturals, for example, 19616 + ... + 34833.

It is an arithmetic number, because the mean of its divisors is an integer number (59241600).

Almost surely, 2414302441 is an apocalyptic number.

It is an amenable number.

414302441 is a deficient number, since it is larger than the sum of its proper divisors (59630359).

414302441 is a wasteful number, since it uses less digits than its factorization.

414302441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55543.

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 414302441 is about 20354.4206746348. The cubic root of 414302441 is about 745.4854371182.

Adding to 414302441 its reverse (144203414), we get a palindrome (558505855).

The spelling of 414302441 in words is "four hundred fourteen million, three hundred two thousand, four hundred forty-one".

Divisors: 1 7 1087 7609 54449 381143 59186063 414302441