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414460134 = 2321114231471
BaseRepresentation
bin11000101101000…
…010100011100110
31001212212202102100
4120231002203212
51322100211014
6105043152530
713161565404
oct3055024346
91055782370
10414460134
111a2a52040
12b6975746
1367b352aa
143d08a474
15265bd009
hex18b428e6

414460134 has 48 divisors (see below), whose sum is σ = 980987904. Its totient is φ = 125420400.

The previous prime is 414460121. The next prime is 414460139. The reversal of 414460134 is 431064414.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 414460098 and 414460107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414460139) 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, 281019 + ... + 282489.

It is an arithmetic number, because the mean of its divisors is an integer number (20437248).

Almost surely, 2414460134 is an apocalyptic number.

414460134 is an abundant number, since it is smaller than the sum of its proper divisors (566527770).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414460134 is a wasteful number, since it uses less digits than its factorization.

414460134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 414460134 is about 20358.2939854989. The cubic root of 414460134 is about 745.5800080657.

The spelling of 414460134 in words is "four hundred fourteen million, four hundred sixty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1423 1471 2846 2942 4269 4413 8538 8826 12807 13239 15653 16181 25614 26478 31306 32362 46959 48543 93918 97086 140877 145629 281754 291258 2093233 4186466 6279699 12559398 18839097 23025563 37678194 46051126 69076689 138153378 207230067 414460134