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420431312 = 24710934439
BaseRepresentation
bin11001000011110…
…100010111010000
31002022010010100002
4121003310113100
51330112300222
6105415145132
713263415160
oct3103642720
91068103302
10420431312
111a63602a4
12b89751a8
1369146132
143dba25a0
1526d9c392
hex190f45d0

420431312 has 40 divisors (see below), whose sum is σ = 939523200. Its totient is φ = 178526592.

The previous prime is 420431287. The next prime is 420431359. The reversal of 420431312 is 213134024.

It is a super-2 number, since 2×4204313122 = 353524976220082688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 5012 + ... + 29427.

It is an arithmetic number, because the mean of its divisors is an integer number (23488080).

Almost surely, 2420431312 is an apocalyptic number.

It is an amenable number.

420431312 is an abundant number, since it is smaller than the sum of its proper divisors (519091888).

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

420431312 is a wasteful number, since it uses less digits than its factorization.

420431312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34563 (or 34557 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 420431312 is about 20504.4217670238. The cubic root of 420431312 is about 749.1435034424.

Adding to 420431312 its reverse (213134024), we get a palindrome (633565336).

The spelling of 420431312 in words is "four hundred twenty million, four hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 109 112 218 436 763 872 1526 1744 3052 6104 12208 34439 68878 137756 241073 275512 482146 551024 964292 1928584 3753851 3857168 7507702 15015404 26276957 30030808 52553914 60061616 105107828 210215656 420431312