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414340421 = 11259127457
BaseRepresentation
bin11000101100100…
…101010101000101
31001212122200012112
4120230211111011
51322032343141
6105040430405
713160556365
oct3054452505
91055580175
10414340421
111a2980100
12b6918405
1367ac2961
143d0589a5
15265977eb
hex18b25545

414340421 has 24 divisors (see below), whose sum is σ = 467819520. Its totient is φ = 366569280.

The previous prime is 414340417. The next prime is 414340453. The reversal of 414340421 is 124043414.

It is a happy number.

It is not a de Polignac number, because 414340421 - 22 = 414340417 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414340411) 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 23 ways as a sum of consecutive naturals, for example, 906425 + ... + 906881.

It is an arithmetic number, because the mean of its divisors is an integer number (19492480).

Almost surely, 2414340421 is an apocalyptic number.

It is an amenable number.

414340421 is a deficient number, since it is larger than the sum of its proper divisors (53479099).

414340421 is a wasteful number, since it uses less digits than its factorization.

414340421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 654 counting only the distinct ones).

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

The square root of 414340421 is about 20355.3536201167. The cubic root of 414340421 is about 745.5082165091.

Adding to 414340421 its reverse (124043414), we get a palindrome (538383835).

The spelling of 414340421 in words is "four hundred fourteen million, three hundred forty thousand, four hundred twenty-one".

Divisors: 1 11 59 121 127 457 649 1397 5027 7139 7493 15367 26963 55297 58039 82423 296593 638429 906653 3262523 3424301 7022719 37667311 414340421