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3249328680 = 23325132330187
BaseRepresentation
bin1100000110101100…
…1101001000101000
322101110011222222200
43001223031020220
523123312004210
61254232220200
7143343560313
oct30153151050
98343158880
103249328680
111418185804
1276823a660
133ca2504c0
1422b78997a
151403e40c0
hexc1acd228

3249328680 has 192 divisors, whose sum is σ = 11867506560. Its totient is φ = 765033984.

The previous prime is 3249328651. The next prime is 3249328699. The reversal of 3249328680 is 868239423.

3249328680 is a `hidden beast` number, since 3 + 2 + 493 + 2 + 86 + 80 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 92547 + ... + 122733.

It is an arithmetic number, because the mean of its divisors is an integer number (61809930).

Almost surely, 23249328680 is an apocalyptic number.

3249328680 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 3249328680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5933753280).

3249328680 is an abundant number, since it is smaller than the sum of its proper divisors (8618177880).

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

3249328680 is a wasteful number, since it uses less digits than its factorization.

3249328680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30240 (or 30233 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3249328680 is about 57002.8830849809. The cubic root of 3249328680 is about 1481.1460383160.

The spelling of 3249328680 in words is "three billion, two hundred forty-nine million, three hundred twenty-eight thousand, six hundred eighty".