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244012032 = 21032112983
BaseRepresentation
bin11101000101101…
…01010000000000
3122000011002120200
432202311100000
5444431341112
640114005200
76022032225
oct1642652000
9560132520
10244012032
11115813940
1269876800
133b727024
142459b94c
151664ecdc
hexe8b5400

244012032 has 264 divisors, whose sum is σ = 804716640. Its totient is φ = 70533120.

The previous prime is 244012031. The next prime is 244012039. The reversal of 244012032 is 230210442.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 244011996 and 244012014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244012031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2939863 + ... + 2939945.

Almost surely, 2244012032 is an apocalyptic number.

244012032 is a gapful number since it is divisible by the number (22) 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 244012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402358320).

244012032 is an abundant number, since it is smaller than the sum of its proper divisors (560704608).

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

244012032 is a wasteful number, since it uses less digits than its factorization.

244012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 244012032 is about 15620.8844820004. The cubic root of 244012032 is about 624.8902480350.

Adding to 244012032 its reverse (230210442), we get a palindrome (474222474).

The spelling of 244012032 in words is "two hundred forty-four million, twelve thousand, thirty-two".