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420327441 = 3315567683
BaseRepresentation
bin11001000011011…
…011000000010001
31002021220211212000
4121003123000101
51330100434231
6105413024213
713262503302
oct3103330021
91067824760
10420327441
111a629a256
12b8925069
136910aa81
143db767a9
1526d7b6e6
hex190db011

420327441 has 8 divisors (see below), whose sum is σ = 622707360. Its totient is φ = 280218276.

The previous prime is 420327433. The next prime is 420327463. The reversal of 420327441 is 144723024.

It is not a de Polignac number, because 420327441 - 23 = 420327433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 15567683 = 420327441 / (4 + 2 + 0 + 3 + 2 + 7 + 4 + 4 + 1).

It is not an unprimeable number, because it can be changed into a prime (420327541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7783815 + ... + 7783868.

It is an arithmetic number, because the mean of its divisors is an integer number (77838420).

Almost surely, 2420327441 is an apocalyptic number.

It is an amenable number.

420327441 is a deficient number, since it is larger than the sum of its proper divisors (202379919).

420327441 is a wasteful number, since it uses less digits than its factorization.

420327441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15567692 (or 15567686 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 420327441 is about 20501.8887178718. Note that the first 3 decimals coincide. The cubic root of 420327441 is about 749.0818043477.

The spelling of 420327441 in words is "four hundred twenty million, three hundred twenty-seven thousand, four hundred forty-one".

Divisors: 1 3 9 27 15567683 46703049 140109147 420327441