Search a number
-
+
3426776064 = 21033413023
BaseRepresentation
bin1100110001000000…
…0111010000000000
322211211002021001000
43030100013100000
524004223313224
61324011412000
7150630054525
oct31420072000
98754067030
103426776064
1114a9364638
127b7754000
13427c3c55a
1424717b14c
15150c960c9
hexcc407400

3426776064 has 176 divisors, whose sum is σ = 10399415040. Its totient is φ = 1114030080.

The previous prime is 3426776051. The next prime is 3426776083. The reversal of 3426776064 is 4606776243.

3426776064 is a `hidden beast` number, since 34 + 2 + 6 + 7 + 7 + 606 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1132057 + ... + 1135079.

Almost surely, 23426776064 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 3426776064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199707520).

3426776064 is an abundant number, since it is smaller than the sum of its proper divisors (6972638976).

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

3426776064 is a wasteful number, since it uses less digits than its factorization.

3426776064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The square root of 3426776064 is about 58538.6715257530. The cubic root of 3426776064 is about 1507.6316342568.

The spelling of 3426776064 in words is "three billion, four hundred twenty-six million, seven hundred seventy-six thousand, sixty-four".