Search a number
-
+
3275403768 = 23327131983317
BaseRepresentation
bin1100001100111010…
…1011000111111000
322110021020202021200
43003032223013320
523202000410033
61301003134200
7144111321060
oct30316530770
98407222250
103275403768
11143097536a
12774b14360
1340277cb50
142310163a0
15142845013
hexc33ab1f8

3275403768 has 384 divisors, whose sum is σ = 11667801600. Its totient is φ = 805966848.

The previous prime is 3275403751. The next prime is 3275403773. The reversal of 3275403768 is 8673045723.

3275403768 is a `hidden beast` number, since 3 + 275 + 4 + 0 + 376 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10332346 + ... + 10332662.

It is an arithmetic number, because the mean of its divisors is an integer number (30384900).

Almost surely, 23275403768 is an apocalyptic number.

3275403768 is a gapful number since it is divisible by the number (38) 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 3275403768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5833900800).

3275403768 is an abundant number, since it is smaller than the sum of its proper divisors (8392397832).

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

3275403768 is a wasteful number, since it uses less digits than its factorization.

3275403768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3275403768 is about 57231.1433399683. The cubic root of 3275403768 is about 1485.0974353645.

The spelling of 3275403768 in words is "three billion, two hundred seventy-five million, four hundred three thousand, seven hundred sixty-eight".