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414285316 = 22101772
BaseRepresentation
bin11000101100010…
…111111000000100
31001212112212121121
4120230113320010
51322024112231
6105035323324
713160236624
oct3054277004
91055485547
10414285316
111a2942765
12b68b0544
1367aa3853
143d042884
1526586311
hex18b17e04

414285316 has 9 divisors (see below), whose sum is σ = 725070549. Its totient is φ = 207122304.

The previous prime is 414285251. The next prime is 414285317. The reversal of 414285316 is 613582414.

The square root of 414285316 is 20354.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 272580100 + 141705216 = 16510^2 + 11904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414285317) 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 2 ways as a sum of consecutive naturals, for example, 35620 + ... + 45796.

Almost surely, 2414285316 is an apocalyptic number.

414285316 is the 20354-th square number.

It is an amenable number.

414285316 is a deficient number, since it is larger than the sum of its proper divisors (310785233).

414285316 is an frugal number, since it uses more digits than its factorization.

414285316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20358 (or 10179 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The cubic root of 414285316 is about 745.4751655447.

The spelling of 414285316 in words is "four hundred fourteen million, two hundred eighty-five thousand, three hundred sixteen".

Divisors: 1 2 4 10177 20354 40708 103571329 207142658 414285316