Search a number
-
+
423683568 = 243371147271
BaseRepresentation
bin11001010000001…
…110010111110000
31002112020100121000
4121100032113300
51331430333233
6110013002000
713333152030
oct3120162760
91075210530
10423683568
111a8181810
12b9a83300
1369a14549
14403ab8c0
15272e0d13
hex1940e5f0

423683568 has 320 divisors, whose sum is σ = 1554186240. Its totient is φ = 107308800.

The previous prime is 423683551. The next prime is 423683573. The reversal of 423683568 is 865386324.

It is a happy number.

423683568 is a `hidden beast` number, since 4 + 2 + 3 + 6 + 83 + 568 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1563273 + ... + 1563543.

It is an arithmetic number, because the mean of its divisors is an integer number (4856832).

Almost surely, 2423683568 is an apocalyptic number.

423683568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423683568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777093120).

423683568 is an abundant number, since it is smaller than the sum of its proper divisors (1130502672).

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

423683568 is a wasteful number, since it uses less digits than its factorization.

423683568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 341 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 423683568 is about 20583.5751996586. The cubic root of 423683568 is about 751.0702161235.

The spelling of 423683568 in words is "four hundred twenty-three million, six hundred eighty-three thousand, five hundred sixty-eight".