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424000424 = 23531019901
BaseRepresentation
bin11001010001011…
…011101110101000
31002112211110020102
4121101123232220
51332021003144
6110023444532
713335641561
oct3121335650
91075743212
10424000424
111a8378881
12b9bb6748
1369ac5833
1440451168
1527354b4e
hex1945bba8

424000424 has 32 divisors (see below), whose sum is σ = 818103240. Its totient is φ = 205920000.

The previous prime is 424000411. The next prime is 424000429.

424000424 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 385336900 + 38663524 = 19630^2 + 6218^2 .

It is a junction number, because it is equal to n+sod(n) for n = 424000396 and 424000405.

It is not an unprimeable number, because it can be changed into a prime (424000429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37874 + ... + 47774.

Almost surely, 2424000424 is an apocalyptic number.

It is an amenable number.

424000424 is a deficient number, since it is larger than the sum of its proper divisors (394102816).

424000424 is a wasteful number, since it uses less digits than its factorization.

424000424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10061 (or 10057 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 424000424 is about 20591.2705776016. The cubic root of 424000424 is about 751.2574012632.

It can be divided in two parts, 424000 and 424, that added together give a palindrome (424424).

The spelling of 424000424 in words is "four hundred twenty-four million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 53 101 106 202 212 404 424 808 5353 9901 10706 19802 21412 39604 42824 79208 524753 1000001 1049506 2000002 2099012 4000004 4198024 8000008 53000053 106000106 212000212 424000424