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414342412 = 2211471911049
BaseRepresentation
bin11000101100100…
…101110100001100
31001212122202221021
4120230211310030
51322032424122
6105040443524
713160565241
oct3054456414
91055582837
10414342412
111a2981650
12b69195a4
1367ac3833
143d0595c8
15265981c7
hex18b25d0c

414342412 has 48 divisors (see below), whose sum is σ = 812851200. Its totient is φ = 183190400.

The previous prime is 414342407. The next prime is 414342451. The reversal of 414342412 is 214243414.

It is a super-3 number, since 3×4143424123 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 394464 + ... + 395512.

It is an arithmetic number, because the mean of its divisors is an integer number (16934400).

Almost surely, 2414342412 is an apocalyptic number.

It is an amenable number.

414342412 is a deficient number, since it is larger than the sum of its proper divisors (398508788).

414342412 is a wasteful number, since it uses less digits than its factorization.

414342412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1300 counting only the distinct ones).

The product of its digits is 3072, while the sum is 25.

The square root of 414342412 is about 20355.4025261109. The cubic root of 414342412 is about 745.5094106194.

Adding to 414342412 its reverse (214243414), we get a palindrome (628585826).

The spelling of 414342412 in words is "four hundred fourteen million, three hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 4 11 22 44 47 94 188 191 382 517 764 1034 1049 2068 2098 2101 4196 4202 8404 8977 11539 17954 23078 35908 46156 49303 98606 98747 197212 197494 200359 394988 400718 542333 801436 1084666 2169332 2203949 4407898 8815796 9416873 18833746 37667492 103585603 207171206 414342412