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420231312 = 24322918273
BaseRepresentation
bin11001000011000…
…011100010010000
31002021201221222200
4121003003202100
51330034400222
6105411003200
713261623114
oct3103034220
91067657880
10420231312
111a6234006
12b8899500
13690a60a7
143db4d744
1526d5ceac
hex190c3890

420231312 has 30 divisors (see below), whose sum is σ = 1176064422. Its totient is φ = 140077056.

The previous prime is 420231307. The next prime is 420231337. The reversal of 420231312 is 213132024.

420231312 is a `hidden beast` number, since 420 + 231 + 3 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 301508496 + 118722816 = 17364^2 + 10896^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1458993 + ... + 1459280.

Almost surely, 2420231312 is an apocalyptic number.

It is an amenable number.

420231312 is an abundant number, since it is smaller than the sum of its proper divisors (755833110).

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

420231312 is a wasteful number, since it uses less digits than its factorization.

420231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918287 (or 2918278 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 420231312 is about 20499.5441900546. The cubic root of 420231312 is about 749.0246949231.

Adding to 420231312 its reverse (213132024), we get a palindrome (633363336).

The spelling of 420231312 in words is "four hundred twenty million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2918273 5836546 8754819 11673092 17509638 23346184 26264457 35019276 46692368 52528914 70038552 105057828 140077104 210115656 420231312