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65034240 = 211352973
BaseRepresentation
bin1111100000010…
…1100000000000
311112101002012120
43320011200000
5113122043430
610241524240
71416532125
oct370054000
9145332176
1065034240
113378a207
1219943680
13106204cb
1488cc74c
155a99610
hex3e05800

65034240 has 192 divisors, whose sum is σ = 218181600. Its totient is φ = 16515072.

The previous prime is 65034239. The next prime is 65034251. The reversal of 65034240 is 4243056.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 65034240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 890844 + ... + 890916.

Almost surely, 265034240 is an apocalyptic number.

65034240 is a gapful number since it is divisible by the number (60) 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 65034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109090800).

65034240 is an abundant number, since it is smaller than the sum of its proper divisors (153147360).

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

65034240 is a wasteful number, since it uses less digits than its factorization.

65034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 65034240 is about 8064.3809433831. The cubic root of 65034240 is about 402.1431632864.

Adding to 65034240 its reverse (4243056), we get a palindrome (69277296).

The spelling of 65034240 in words is "sixty-five million, thirty-four thousand, two hundred forty".