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424103312 = 24314571871
BaseRepresentation
bin11001010001110…
…100110110010000
31002120000200101002
4121101310312100
51332032301222
6110030001132
713336550543
oct3121646620
91076020332
10424103312
111a8439106
12ba0461a8
1369b30609
144047a85a
1527375392
hex19474d90

424103312 has 40 divisors (see below), whose sum is σ = 850516992. Its totient is φ = 204652800.

The previous prime is 424103311. The next prime is 424103333. The reversal of 424103312 is 213301424.

It is not an unprimeable number, because it can be changed into a prime (424103311) 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, 225737 + ... + 227607.

Almost surely, 2424103312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425258496).

424103312 is an abundant number, since it is smaller than the sum of its proper divisors (426413680).

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

424103312 is a wasteful number, since it uses less digits than its factorization.

424103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2361 counting only the distinct ones).

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

The square root of 424103312 is about 20593.7687663040. The cubic root of 424103312 is about 751.3181630893.

Adding to 424103312 its reverse (213301424), we get a palindrome (637404736).

The spelling of 424103312 in words is "four hundred twenty-four million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 62 124 248 457 496 914 1828 1871 3656 3742 7312 7484 14167 14968 28334 29936 56668 58001 113336 116002 226672 232004 464008 855047 928016 1710094 3420188 6840376 13680752 26506457 53012914 106025828 212051656 424103312