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415105345 = 5318930091
BaseRepresentation
bin11000101111100…
…000000101000001
31001221002112111001
4120233200011001
51322231332340
6105105052001
713200223444
oct3057400501
91057075431
10415105345
111a3352876
12b7027001
1367cccb85
143d1b765b
152669929a
hex18be0141

415105345 has 16 divisors (see below), whose sum is σ = 519989760. Its totient is φ = 317750400.

The previous prime is 415105309. The next prime is 415105367. The reversal of 415105345 is 543501514.

It is a de Polignac number, because none of the positive numbers 2k-415105345 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1251 + ... + 28840.

It is an arithmetic number, because the mean of its divisors is an integer number (32499360).

Almost surely, 2415105345 is an apocalyptic number.

It is an amenable number.

415105345 is a deficient number, since it is larger than the sum of its proper divisors (104884415).

415105345 is a wasteful number, since it uses less digits than its factorization.

415105345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30216.

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 415105345 is about 20374.1342147341. The cubic root of 415105345 is about 745.9667014776.

Adding to 415105345 its reverse (543501514), we get a palindrome (958606859).

The spelling of 415105345 in words is "four hundred fifteen million, one hundred five thousand, three hundred forty-five".

Divisors: 1 5 31 89 155 445 2759 13795 30091 150455 932821 2678099 4664105 13390495 83021069 415105345