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414361312 = 2512948791
BaseRepresentation
bin11000101100101…
…010011011100000
31001212200201212021
4120230222123200
51322034030222
6105041111224
713161004321
oct3054523340
91055621767
10414361312
111a2994872
12b6928514
1367acc311
143d062448
152659dac7
hex18b2a6e0

414361312 has 12 divisors (see below), whose sum is σ = 815773896. Its totient is φ = 207180640.

The previous prime is 414361301. The next prime is 414361313. The reversal of 414361312 is 213163414.

It is a super-2 number, since 2×4143613122 = 343390593764722688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414361313) 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 as a sum of consecutive naturals, namely, 6474364 + ... + 6474427.

It is an arithmetic number, because the mean of its divisors is an integer number (67981158).

Almost surely, 2414361312 is an apocalyptic number.

It is an amenable number.

414361312 is a deficient number, since it is larger than the sum of its proper divisors (401412584).

414361312 is a wasteful number, since it uses less digits than its factorization.

414361312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12948801 (or 12948793 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 414361312 is about 20355.8667710319. The cubic root of 414361312 is about 745.5207457803.

The spelling of 414361312 in words is "four hundred fourteen million, three hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 12948791 25897582 51795164 103590328 207180656 414361312