Search a number
-
+
3266312040 = 233451997547
BaseRepresentation
bin1100001010101111…
…1111011101101000
322102122010211210000
43002223333131220
523142133441130
61300040223000
7143641123425
oct30253773550
98378124700
103266312040
111426825642
12771a6aa60
13400918824
1422db2ad4c
15141b4b260
hexc2aff768

3266312040 has 320 divisors, whose sum is σ = 11696731200. Its totient is φ = 815173632.

The previous prime is 3266312033. The next prime is 3266312053. The reversal of 3266312040 is 402136623.

3266312040 is a `hidden beast` number, since 3 + 2 + 6 + 631 + 20 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3266311995 and 3266312013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5971047 + ... + 5971593.

It is an arithmetic number, because the mean of its divisors is an integer number (36552285).

Almost surely, 23266312040 is an apocalyptic number.

3266312040 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 3266312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5848365600).

3266312040 is an abundant number, since it is smaller than the sum of its proper divisors (8430419160).

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

3266312040 is a wasteful number, since it uses less digits than its factorization.

3266312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3266312040 is about 57151.6582436590. The cubic root of 3266312040 is about 1483.7220716893.

Adding to 3266312040 its reverse (402136623), we get a palindrome (3668448663).

The spelling of 3266312040 in words is "three billion, two hundred sixty-six million, three hundred twelve thousand, forty".