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3280530960 = 243257683953
BaseRepresentation
bin1100001110001000…
…1110111000010000
322110121220020110200
43003202032320100
523204303442320
61301305055200
7144203024130
oct30342167020
98417806420
103280530960
111433857513
12776787500
134038567a5
1423198cac0
15143009290
hexc388ee10

3280530960 has 240 divisors, whose sum is σ = 12622656384. Its totient is φ = 747952128.

The previous prime is 3280530943. The next prime is 3280530961. The reversal of 3280530960 is 690350823.

3280530960 is a `hidden beast` number, since 32 + 8 + 0 + 530 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (3280530961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3441844 + ... + 3442796.

Almost surely, 23280530960 is an apocalyptic number.

3280530960 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 3280530960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6311328192).

3280530960 is an abundant number, since it is smaller than the sum of its proper divisors (9342125424).

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

3280530960 is a wasteful number, since it uses less digits than its factorization.

3280530960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3280530960 is about 57275.9195473979. The cubic root of 3280530960 is about 1485.8719363211.

The spelling of 3280530960 in words is "three billion, two hundred eighty million, five hundred thirty thousand, nine hundred sixty".