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405141327 = 3261772959
BaseRepresentation
bin11000001001011…
…111011101001111
31001020100022102100
4120021133131033
51312204010302
6104111330143
713016434023
oct3011373517
91036308370
10405141327
11198767748
12b3820953
1365c217c6
143bb42383
152587bd1c
hex1825f74f

405141327 has 12 divisors (see below), whose sum is σ = 586160640. Its totient is φ = 269652768.

The previous prime is 405141323. The next prime is 405141329. The reversal of 405141327 is 723141504.

It is not a de Polignac number, because 405141327 - 22 = 405141323 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 405141327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405141323) 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 11 ways as a sum of consecutive naturals, for example, 30927 + ... + 42032.

It is an arithmetic number, because the mean of its divisors is an integer number (48846720).

Almost surely, 2405141327 is an apocalyptic number.

405141327 is a deficient number, since it is larger than the sum of its proper divisors (181019313).

405141327 is a wasteful number, since it uses less digits than its factorization.

405141327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73582 (or 73579 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 405141327 is about 20128.1227887749. The cubic root of 405141327 is about 739.9496721312.

The spelling of 405141327 in words is "four hundred five million, one hundred forty-one thousand, three hundred twenty-seven".

Divisors: 1 3 9 617 1851 5553 72959 218877 656631 45015703 135047109 405141327