Search a number
-
+
3268021248 = 21033172409
BaseRepresentation
bin1100001011001010…
…0000110000000000
322102202100200101000
43002302200300000
523143103134443
61300141012000
7143661502512
oct30262406000
98382320330
103268021248
111427792808
12772554000
134010967ab
14230053bb2
15141d878d3
hexc2ca0c00

3268021248 has 264 divisors, whose sum is σ = 10306235600. Its totient is φ = 1022754816.

The previous prime is 3268021247. The next prime is 3268021283. The reversal of 3268021248 is 8421208623.

3268021248 is a `hidden beast` number, since 326 + 80 + 212 + 48 = 666.

It is a super-3 number, since 3×32680212483 (a number of 30 digits) contains 333 as substring.

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 (3268021241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7990068 + ... + 7990476.

Almost surely, 23268021248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3268021248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5153117800).

3268021248 is an abundant number, since it is smaller than the sum of its proper divisors (7038214352).

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

3268021248 is a wasteful number, since it uses less digits than its factorization.

3268021248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3268021248 is about 57166.6095548791. The cubic root of 3268021248 is about 1483.9808291079.

The spelling of 3268021248 in words is "three billion, two hundred sixty-eight million, twenty-one thousand, two hundred forty-eight".