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417401341 = 7535919069
BaseRepresentation
bin11000111000010…
…000100111111101
31002002102011222221
4120320100213331
51323323320331
6105230205341
713225565350
oct3070204775
91062364887
10417401341
111a4680895
12b7953851
1368624c56
143d614297
152699e711
hex18e109fd

417401341 has 16 divisors (see below), whose sum is σ = 494294400. Its totient is φ = 345054528.

The previous prime is 417401333. The next prime is 417401351. The reversal of 417401341 is 143104714.

It is a happy number.

It is not a de Polignac number, because 417401341 - 23 = 417401333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417401351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12355 + ... + 31423.

It is an arithmetic number, because the mean of its divisors is an integer number (30893400).

Almost surely, 2417401341 is an apocalyptic number.

It is an amenable number.

417401341 is a deficient number, since it is larger than the sum of its proper divisors (76893059).

417401341 is a wasteful number, since it uses less digits than its factorization.

417401341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19188.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 417401341 is about 20430.4023699975. The cubic root of 417401341 is about 747.3395164102.

The spelling of 417401341 in words is "four hundred seventeen million, four hundred one thousand, three hundred forty-one".

Divisors: 1 7 53 59 371 413 3127 19069 21889 133483 1010657 1125071 7074599 7875497 59628763 417401341