Search a number
-
+
730687104 = 27327192251
BaseRepresentation
bin101011100011010…
…110011010000000
31212220220202021100
4223203112122000
52444023441404
6200301054400
724051511050
oct5343263200
91786822240
10730687104
113454aa044
12184857400
13b84c5044
146d085560
1544234d39
hex2b8d6680

730687104 has 288 divisors, whose sum is σ = 2546238240. Its totient is φ = 196992000.

The previous prime is 730687049. The next prime is 730687127. The reversal of 730687104 is 401786037.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2910979 + ... + 2911229.

It is an arithmetic number, because the mean of its divisors is an integer number (8841105).

Almost surely, 2730687104 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 730687104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273119120).

730687104 is an abundant number, since it is smaller than the sum of its proper divisors (1815551136).

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

730687104 is a wasteful number, since it uses less digits than its factorization.

730687104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 730687104 is about 27031.2246115488. The cubic root of 730687104 is about 900.6937465837.

The spelling of 730687104 in words is "seven hundred thirty million, six hundred eighty-seven thousand, one hundred four".