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414411104 = 25122310589
BaseRepresentation
bin11000101100110…
…110100101100000
31001212210021011102
4120230312211200
51322042123404
6105042133532
713161302432
oct3054664540
91055707142
10414411104
111a2a19218
12b69512a8
1367b18b93
143d076652
15265ad71e
hex18b36960

414411104 has 24 divisors (see below), whose sum is σ = 816616080. Its totient is φ = 207016576.

The previous prime is 414411089. The next prime is 414411119. The reversal of 414411104 is 401114414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (414411089) and next prime (414411119).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 33842 + ... + 44430.

It is an arithmetic number, because the mean of its divisors is an integer number (34025670).

Almost surely, 2414411104 is an apocalyptic number.

It is an amenable number.

414411104 is a deficient number, since it is larger than the sum of its proper divisors (402204976).

414411104 is a wasteful number, since it uses less digits than its factorization.

414411104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11822 (or 11814 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 414411104 is about 20357.0897723619. The cubic root of 414411104 is about 745.5506065814.

Adding to 414411104 its reverse (401114414), we get a palindrome (815525518).

The spelling of 414411104 in words is "four hundred fourteen million, four hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 1223 2446 4892 9784 10589 19568 21178 39136 42356 84712 169424 338848 12950347 25900694 51801388 103602776 207205552 414411104