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405420345 = 32511819031
BaseRepresentation
bin11000001010100…
…011100100111001
31001020212111011100
4120022203210321
51312241422340
6104121322013
713022005341
oct3012434471
91036774140
10405420345
11198938340
12b3936309
1365cbb7c5
143bbb5d21
15258d4830
hex182a3939

405420345 has 24 divisors (see below), whose sum is σ = 766613952. Its totient is φ = 196567200.

The previous prime is 405420343. The next prime is 405420349. The reversal of 405420345 is 543024504.

It is not a de Polignac number, because 405420345 - 21 = 405420343 is a prime.

It is a super-2 number, since 2×4054203452 = 328731312279838050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (405420343) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 409021 + ... + 410010.

It is an arithmetic number, because the mean of its divisors is an integer number (31942248).

Almost surely, 2405420345 is an apocalyptic number.

405420345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

405420345 is a deficient number, since it is larger than the sum of its proper divisors (361193607).

405420345 is a wasteful number, since it uses less digits than its factorization.

405420345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819053 (or 819050 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 405420345 is about 20135.0526445798. The cubic root of 405420345 is about 740.1194992066.

Adding to 405420345 its reverse (543024504), we get a palindrome (948444849).

The spelling of 405420345 in words is "four hundred five million, four hundred twenty thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 819031 2457093 4095155 7371279 9009341 12285465 27028023 36856395 45046705 81084069 135140115 405420345