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3260327040 = 2732519313
BaseRepresentation
bin1100001001010100…
…1010010010000000
322102012212202220100
43002111022102000
523134120431130
61255304042400
7143536215435
oct30225122200
98365782810
103260327040
111423407a63
1276ba63400
133cc6015c9
1422d00db8c
15141367c60
hexc254a480

3260327040 has 384 divisors, whose sum is σ = 12245875200. Its totient is φ = 797091840.

The previous prime is 3260327003. The next prime is 3260327051. The reversal of 3260327040 is 407230623.

3260327040 is a `hidden beast` number, since 32 + 603 + 27 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 3260326995 and 3260327013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105171825 + ... + 105171855.

It is an arithmetic number, because the mean of its divisors is an integer number (31890300).

Almost surely, 23260327040 is an apocalyptic number.

3260327040 is a gapful number since it is divisible by the number (30) 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 3260327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122937600).

3260327040 is an abundant number, since it is smaller than the sum of its proper divisors (8985548160).

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

3260327040 is an equidigital number, since it uses as much as digits as its factorization.

3260327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3260327040 is about 57099.2735505453. The cubic root of 3260327040 is about 1482.8152889736.

Adding to 3260327040 its reverse (407230623), we get a palindrome (3667557663).

The spelling of 3260327040 in words is "three billion, two hundred sixty million, three hundred twenty-seven thousand, forty".