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424421320 = 23517624149
BaseRepresentation
bin11001010011000…
…010011111001000
31002120121211121011
4121103002133020
51332122440240
6110040453304
713342343641
oct3123023710
91076554534
10424421320
111a8636024
12ba17a234
1369c1229b
14405206c8
15273d96ea
hex194c27c8

424421320 has 32 divisors (see below), whose sum is σ = 1011123000. Its totient is φ = 159781888.

The previous prime is 424421311. The next prime is 424421321. The reversal of 424421320 is 23124424.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 422466916 + 1954404 = 20554^2 + 1398^2 .

It is a junction number, because it is equal to n+sod(n) for n = 424421291 and 424421300.

It is not an unprimeable number, because it can be changed into a prime (424421321) 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 7 ways as a sum of consecutive naturals, for example, 311395 + ... + 312754.

Almost surely, 2424421320 is an apocalyptic number.

424421320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424421320 is an abundant number, since it is smaller than the sum of its proper divisors (586701680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

424421320 is a wasteful number, since it uses less digits than its factorization.

424421320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624177 (or 624173 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 424421320 is about 20601.4882957518. The cubic root of 424421320 is about 751.5059046814.

Adding to 424421320 its reverse (23124424), we get a palindrome (447545744).

The spelling of 424421320 in words is "four hundred twenty-four million, four hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 624149 1248298 2496596 3120745 4993192 6241490 10610533 12482980 21221066 24965960 42442132 53052665 84884264 106105330 212210660 424421320