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416104345 = 5101823969
BaseRepresentation
bin11000110011010…
…011111110011001
31001222222021212001
4120303103332121
51323010314340
6105142321001
713211554126
oct3063237631
91058867761
10416104345
111a3975398
12b7429161
136828c7b7
143d39774d
15267e529a
hex18cd3f99

416104345 has 8 divisors (see below), whose sum is σ = 504269640. Its totient is φ = 329587200.

The previous prime is 416104343. The next prime is 416104357. The reversal of 416104345 is 543401614.

It can be written as a sum of positive squares in 4 ways, for example, as 26594649 + 389509696 = 5157^2 + 19736^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 416104345 - 21 = 416104343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416104343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411480 + ... + 412489.

It is an arithmetic number, because the mean of its divisors is an integer number (63033705).

Almost surely, 2416104345 is an apocalyptic number.

It is an amenable number.

416104345 is a deficient number, since it is larger than the sum of its proper divisors (88165295).

416104345 is a wasteful number, since it uses less digits than its factorization.

416104345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824075.

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 416104345 is about 20398.6358612531. The cubic root of 416104345 is about 746.5646410298.

Adding to 416104345 its reverse (543401614), we get a palindrome (959505959).

The spelling of 416104345 in words is "four hundred sixteen million, one hundred four thousand, three hundred forty-five".

Divisors: 1 5 101 505 823969 4119845 83220869 416104345