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415105341 = 37158312487
BaseRepresentation
bin11000101111100…
…000000100111101
31001221002112110220
4120233200010331
51322231332331
6105105051553
713200223440
oct3057400475
91057075426
10415105341
111a3352872
12b7026bb9
1367cccb81
143d1b7657
1526699296
hex18be013d

415105341 has 16 divisors (see below), whose sum is σ = 632991744. Its totient is φ = 237034224.

The previous prime is 415105309. The next prime is 415105367. The reversal of 415105341 is 143501514.

It is a happy number.

It is not a de Polignac number, because 415105341 - 25 = 415105309 is a prime.

It is a super-3 number, since 3×4151053413 (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415105241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27000 + ... + 39486.

It is an arithmetic number, because the mean of its divisors is an integer number (39561984).

Almost surely, 2415105341 is an apocalyptic number.

It is an amenable number.

415105341 is a deficient number, since it is larger than the sum of its proper divisors (217886403).

415105341 is a wasteful number, since it uses less digits than its factorization.

415105341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14080.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 415105341 is about 20374.1341165705. The cubic root of 415105341 is about 745.9666990816.

Adding to 415105341 its reverse (143501514), we get a palindrome (558606855).

The spelling of 415105341 in words is "four hundred fifteen million, one hundred five thousand, three hundred forty-one".

Divisors: 1 3 7 21 1583 4749 11081 12487 33243 37461 87409 262227 19766921 59300763 138368447 415105341