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423444672 = 2634721667
BaseRepresentation
bin11001001111010…
…100000011000000
31002111210012220000
4121033110003000
51331400212142
6110003520000
713331135400
oct3117240300
91074705800
10423444672
111a8029282
12b9989000
136995c8a1
1440348800
152729514c
hex193d40c0

423444672 has 210 divisors, whose sum is σ = 1461032892. Its totient is φ = 120911616.

The previous prime is 423444649. The next prime is 423444683. The reversal of 423444672 is 276444324.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253183 + ... + 254849.

Almost surely, 2423444672 is an apocalyptic number.

423444672 is a gapful number since it is divisible by the number (42) 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 423444672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730516446).

423444672 is an abundant number, since it is smaller than the sum of its proper divisors (1037588220).

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

423444672 is a wasteful number, since it uses less digits than its factorization.

423444672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1679 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 423444672 is about 20577.7713078944. The cubic root of 423444672 is about 750.9290247422.

Adding to 423444672 its reverse (276444324), we get a palindrome (699888996).

The spelling of 423444672 in words is "four hundred twenty-three million, four hundred forty-four thousand, six hundred seventy-two".