Search a number
-
+
3434992704 = 2633111313901
BaseRepresentation
bin1100110010111101…
…1101010001000000
322212101112201011000
43030233131101000
524013324231304
61324503452000
7151056645663
oct31457352100
98771481130
103434992704
111502a66950
127ba457000
13429858480
142482b96da
1515186a939
hexccbdd440

3434992704 has 224 divisors, whose sum is σ = 11864522880. Its totient is φ = 960768000.

The previous prime is 3434992703. The next prime is 3434992711. The reversal of 3434992704 is 4072994343.

3434992704 is a `hidden beast` number, since 34 + 349 + 9 + 270 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3434992704.

It is not an unprimeable number, because it can be changed into a prime (3434992703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240154 + ... + 254054.

It is an arithmetic number, because the mean of its divisors is an integer number (52966620).

Almost surely, 23434992704 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 3434992704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5932261440).

3434992704 is an abundant number, since it is smaller than the sum of its proper divisors (8429530176).

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

3434992704 is a wasteful number, since it uses less digits than its factorization.

3434992704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13946 (or 13930 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3434992704 is about 58608.8108052023. The cubic root of 3434992704 is about 1508.8356598851.

The spelling of 3434992704 in words is "three billion, four hundred thirty-four million, nine hundred ninety-two thousand, seven hundred four".