Search a number
-
+
3258675090 = 23351117233277
BaseRepresentation
bin1100001000111011…
…0110111110010010
322102002202211212000
43002032312332102
523133210100330
61255204414430
7143516165316
oct30216667622
98362684760
103258675090
111422489910
1276b3a7416
133cc173718
1422caddb46
1514113d560
hexc23b6f92

3258675090 has 256 divisors, whose sum is σ = 10116887040. Its totient is φ = 737648640.

The previous prime is 3258675037. The next prime is 3258675151. The reversal of 3258675090 is 905768523.

It is a happy number.

3258675090 is a `hidden beast` number, since 32 + 58 + 67 + 509 + 0 = 666.

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

It is a Curzon 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 127 ways as a sum of consecutive naturals, for example, 11764032 + ... + 11764308.

It is an arithmetic number, because the mean of its divisors is an integer number (39519090).

Almost surely, 23258675090 is an apocalyptic number.

3258675090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3258675090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5058443520).

3258675090 is an abundant number, since it is smaller than the sum of its proper divisors (6858211950).

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

3258675090 is a wasteful number, since it uses less digits than its factorization.

3258675090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 3258675090 is about 57084.8061221197. The cubic root of 3258675090 is about 1482.5648079109.

The spelling of 3258675090 in words is "three billion, two hundred fifty-eight million, six hundred seventy-five thousand, ninety".