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420321033 = 321131151907
BaseRepresentation
bin11001000011011…
…001011100001001
31002021220112001200
4121003121130021
51330100233113
6105412534413
713262445516
oct3103313411
91067815050
10420321033
111a6295460
12b8921409
1369107b92
143db7430d
1526d79873
hex190d9709

420321033 has 48 divisors (see below), whose sum is σ = 688975872. Its totient is φ = 244620000.

The previous prime is 420321019. The next prime is 420321037. The reversal of 420321033 is 330123024.

420321033 is a `hidden beast` number, since 420 + 3 + 210 + 33 = 666.

It is not a de Polignac number, because 420321033 - 26 = 420320969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420320997 and 420321015.

It is not an unprimeable number, because it can be changed into a prime (420321037) 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 47 ways as a sum of consecutive naturals, for example, 462966 + ... + 463872.

It is an arithmetic number, because the mean of its divisors is an integer number (14353664).

Almost surely, 2420321033 is an apocalyptic number.

It is an amenable number.

420321033 is a deficient number, since it is larger than the sum of its proper divisors (268654839).

420321033 is a wasteful number, since it uses less digits than its factorization.

420321033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 420321033 is about 20501.7324389916. The cubic root of 420321033 is about 749.0779976801.

Adding to 420321033 its reverse (330123024), we get a palindrome (750444057).

The spelling of 420321033 in words is "four hundred twenty million, three hundred twenty-one thousand, thirty-three".

Divisors: 1 3 9 11 31 33 93 99 151 279 341 453 907 1023 1359 1661 2721 3069 4681 4983 8163 9977 14043 14949 28117 29931 42129 51491 84351 89793 136957 154473 253053 309287 410871 463419 927861 1232613 1506527 2783583 4245667 4519581 12737001 13558743 38211003 46702337 140107011 420321033