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423442800 = 2432521117237
BaseRepresentation
bin11001001111010…
…011100101110000
31002111210010022200
4121033103211300
51331400132200
6110003503200
713331130054
oct3117234560
91074703280
10423442800
111a8027930
12b9987b00
136995ba91
1440347c64
1527294800
hex193d3970

423442800 has 540 divisors, whose sum is σ = 1748920056. Its totient is φ = 94003200.

The previous prime is 423442777. The next prime is 423442813. The reversal of 423442800 is 8244324.

It is a happy number.

423442800 is a `hidden beast` number, since 4 + 234 + 428 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11444382 + ... + 11444418.

Almost surely, 2423442800 is an apocalyptic number.

423442800 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 423442800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874460028).

423442800 is an abundant number, since it is smaller than the sum of its proper divisors (1325477256).

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

423442800 is a wasteful number, since it uses less digits than its factorization.

423442800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 423442800 is about 20577.7258218687. The cubic root of 423442800 is about 750.9279181504.

The spelling of 423442800 in words is "four hundred twenty-three million, four hundred forty-two thousand, eight hundred".