Search a number
-
+
4104665334 = 2337112175279
BaseRepresentation
bin1111010010101000…
…0011100011110110
3101121001122121022000
43310222003203312
531401243242314
61515145120130
7203501036220
oct36452034366
911531577260
104104665334
111816a81900
12966789046
13505509873
142ad1db410
1519054c209
hexf4a838f6

4104665334 has 192 divisors, whose sum is σ = 12134707200. Its totient is φ = 1003242240.

The previous prime is 4104665321. The next prime is 4104665339. The reversal of 4104665334 is 4335664014.

4104665334 = T6532 + T6533 + ... + T6718.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104665339) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 774907 + ... + 780185.

It is an arithmetic number, because the mean of its divisors is an integer number (63201600).

Almost surely, 24104665334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104665334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067353600).

4104665334 is an abundant number, since it is smaller than the sum of its proper divisors (8030041866).

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

4104665334 is a wasteful number, since it uses less digits than its factorization.

4104665334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4104665334 is about 64067.6621549437. The cubic root of 4104665334 is about 1601.1275039705.

The spelling of 4104665334 in words is "four billion, one hundred four million, six hundred sixty-five thousand, three hundred thirty-four".