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3104728704 = 27347113889
BaseRepresentation
bin1011100100001110…
…0110011010000000
322000101002120010000
42321003212122000
522324302304304
61232025040000
7136636521120
oct27103463200
98011076100
103104728704
1113535a16a0
12727926000
133a62c249c
142164a8c80
1513287e939
hexb90e6680

3104728704 has 320 divisors, whose sum is σ = 11522491200. Its totient is φ = 806215680.

The previous prime is 3104728703. The next prime is 3104728721. The reversal of 3104728704 is 4078274013.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3104728703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 796392 + ... + 800280.

It is an arithmetic number, because the mean of its divisors is an integer number (36007785).

Almost surely, 23104728704 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 3104728704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5761245600).

3104728704 is an abundant number, since it is smaller than the sum of its proper divisors (8417762496).

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

3104728704 is a wasteful number, since it uses less digits than its factorization.

3104728704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 3104728704 is about 55720.0924622348. The cubic root of 3104728704 is about 1458.8407486450.

The spelling of 3104728704 in words is "three billion, one hundred four million, seven hundred twenty-eight thousand, seven hundred four".