Search a number
-
+
423840600 = 2338521719
BaseRepresentation
bin11001010000110…
…100101101011000
31002112112100000000
4121100310231120
51332000344400
6110020213000
713334404611
oct3120645530
91075470000
10423840600
111a8279797
12b9b3a160
1369a6ab71
144040cc08
1527322600
hex19434b58

423840600 has 432 divisors, whose sum is σ = 1647383400. Its totient is φ = 100776960.

The previous prime is 423840577. The next prime is 423840611. The reversal of 423840600 is 6048324.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 107 ways as a sum of consecutive naturals, for example, 22307391 + ... + 22307409.

Almost surely, 2423840600 is an apocalyptic number.

423840600 is a gapful number since it is divisible by the number (40) 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 423840600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823691700).

423840600 is an abundant number, since it is smaller than the sum of its proper divisors (1223542800).

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

423840600 is a wasteful number, since it uses less digits than its factorization.

423840600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 423840600 is about 20587.3893439649. The cubic root of 423840600 is about 751.1629956560.

Adding to 423840600 its reverse (6048324), we get a palindrome (429888924).

The spelling of 423840600 in words is "four hundred twenty-three million, eight hundred forty thousand, six hundred".