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414241212 = 223711448313
BaseRepresentation
bin11000101100001…
…101000110111100
31001212110122010010
4120230031012330
51322021204322
6105034343220
713156664220
oct3054150674
91055418103
10414241212
111a2912610
12b688ab10
1367a89758
143d030780
152657820c
hex18b0d1bc

414241212 has 48 divisors (see below), whose sum is σ = 1205068032. Its totient is φ = 107594880.

The previous prime is 414241199. The next prime is 414241237. The reversal of 414241212 is 212142414.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223233 + ... + 225080.

It is an arithmetic number, because the mean of its divisors is an integer number (25105584).

Almost surely, 2414241212 is an apocalyptic number.

414241212 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

414241212 is an abundant number, since it is smaller than the sum of its proper divisors (790826820).

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

414241212 is a wasteful number, since it uses less digits than its factorization.

414241212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448338 (or 448336 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 414241212 is about 20352.9165477580. The cubic root of 414241212 is about 745.4487106658.

Adding to 414241212 its reverse (212142414), we get a palindrome (626383626).

It can be divided in two parts, 4142 and 41212, that added together give a palindrome (45354).

The spelling of 414241212 in words is "four hundred fourteen million, two hundred forty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 448313 896626 1344939 1793252 2689878 3138191 4931443 5379756 6276382 9414573 9862886 12552764 14794329 18829146 19725772 29588658 34520101 37658292 59177316 69040202 103560303 138080404 207120606 414241212