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420005331 = 365711009
BaseRepresentation
bin11001000010001…
…100010111010011
31002021022111000000
4121002030113103
51330010132311
6105402101043
713256662224
oct3102142723
91067274000
10420005331
111a609a249
12b87aa783
1369027285
143dad124b
1526d16056
hex1908c5d3

420005331 has 28 divisors (see below), whose sum is σ = 631447960. Its totient is φ = 279236160.

The previous prime is 420005303. The next prime is 420005351. The reversal of 420005331 is 133500024.

It is a de Polignac number, because none of the positive numbers 2k-420005331 is a prime.

It is a super-2 number, since 2×4200053312 = 352808956136839122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420005351) 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 27 ways as a sum of consecutive naturals, for example, 415755 + ... + 416763.

Almost surely, 2420005331 is an apocalyptic number.

420005331 is a deficient number, since it is larger than the sum of its proper divisors (211442629).

420005331 is an equidigital number, since it uses as much as digits as its factorization.

420005331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 420005331 is about 20494.0315945887. The cubic root of 420005331 is about 748.8904072147.

Adding to 420005331 its reverse (133500024), we get a palindrome (553505355).

The spelling of 420005331 in words is "four hundred twenty million, five thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 243 571 729 1009 1713 3027 5139 9081 15417 27243 46251 81729 138753 245187 416259 576139 735561 1728417 5185251 15555753 46667259 140001777 420005331