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414304916 = 22886111689
BaseRepresentation
bin11000101100011…
…100101010010100
31001212120212111112
4120230130222110
51322030224131
6105035554152
713160351024
oct3054345224
91055525445
10414304916
111a2956463
12b68bb958
1367aac74c
143d049a84
152658c02b
hex18b1ca94

414304916 has 12 divisors (see below), whose sum is σ = 725177460. Its totient is φ = 207111360.

The previous prime is 414304907. The next prime is 414304981. The reversal of 414304916 is 619403414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 410224516 + 4080400 = 20254^2 + 2020^2 .

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, 29600 + ... + 41288.

It is an arithmetic number, because the mean of its divisors is an integer number (60431455).

Almost surely, 2414304916 is an apocalyptic number.

It is an amenable number.

414304916 is a deficient number, since it is larger than the sum of its proper divisors (310872544).

414304916 is a wasteful number, since it uses less digits than its factorization.

414304916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20554 (or 20552 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 414304916 is about 20354.4814721476. The cubic root of 414304916 is about 745.4869215996.

The spelling of 414304916 in words is "four hundred fourteen million, three hundred four thousand, nine hundred sixteen".

Divisors: 1 2 4 8861 11689 17722 23378 35444 46756 103576229 207152458 414304916