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418240001 = 17292573301
BaseRepresentation
bin11000111011011…
…101011000000001
31002010222210102102
4120323131120001
51324032140001
6105300200145
713235660414
oct3073353001
91063883372
10418240001
111a50a39a3
12b8099055
13688598ba
143d791b7b
1526ab7e6b
hex18edd601

418240001 has 16 divisors (see below), whose sum is σ = 460034640. Its totient is φ = 378470400.

The previous prime is 418239979. The next prime is 418240033. The reversal of 418240001 is 100042814.

It can be written as a sum of positive squares in 8 ways, for example, as 44823025 + 373416976 = 6695^2 + 19324^2 .

It is a cyclic number.

It is not a de Polignac number, because 418240001 - 26 = 418239937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (418240601) 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, 125051 + ... + 128351.

It is an arithmetic number, because the mean of its divisors is an integer number (28752165).

Almost surely, 2418240001 is an apocalyptic number.

It is an amenable number.

418240001 is a deficient number, since it is larger than the sum of its proper divisors (41794639).

418240001 is a wasteful number, since it uses less digits than its factorization.

418240001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604.

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 418240001 is about 20450.9168743115. The cubic root of 418240001 is about 747.8397100225.

Adding to 418240001 its reverse (100042814), we get a palindrome (518282815).

The spelling of 418240001 in words is "four hundred eighteen million, two hundred forty thousand, one".

Divisors: 1 17 29 257 493 3301 4369 7453 56117 95729 126701 848357 1627393 14422069 24602353 418240001