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423629712 = 243211241593
BaseRepresentation
bin11001010000000…
…001001110010000
31002112010121201100
4121100001032100
51331422122322
6110011504400
713332536022
oct3120011620
91075117640
10423629712
111a8145300
12b9a58100
13699c5b8c
1440396012
15272cedac
hex19401390

423629712 has 180 divisors, whose sum is σ = 1337187852. Its totient is φ = 125030400.

The previous prime is 423629711. The next prime is 423629737. The reversal of 423629712 is 217926324.

423629712 is a `hidden beast` number, since 4 + 23 + 629 + 7 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120033936 + 303595776 = 10956^2 + 17424^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423629711) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 714088 + ... + 714680.

Almost surely, 2423629712 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 423629712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668593926).

423629712 is an abundant number, since it is smaller than the sum of its proper divisors (913558140).

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

423629712 is a wasteful number, since it uses less digits than its factorization.

423629712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 650 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 423629712 is about 20582.2669305400. The cubic root of 423629712 is about 751.0383909954.

The spelling of 423629712 in words is "four hundred twenty-three million, six hundred twenty-nine thousand, seven hundred twelve".