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730632960 = 2839529
BaseRepresentation
bin101011100011001…
…001001100000000
31212220211000000000
4223203021030000
52444020223320
6200300000000
724051164151
oct5343111400
91786730000
10730632960
113454723a2
12184830000
13b84a64c5
146d06d928
1544223c90
hex2b8c9300

730632960 has 360 divisors, whose sum is σ = 2715617520. Its totient is φ = 188116992.

The previous prime is 730632949. The next prime is 730632961. The reversal of 730632960 is 69236037.

It is a tau number, because it is divible by the number of its divisors (360).

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 (730632961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25194226 + ... + 25194254.

It is an arithmetic number, because the mean of its divisors is an integer number (7543382).

Almost surely, 2730632960 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 730632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357808760).

730632960 is an abundant number, since it is smaller than the sum of its proper divisors (1984984560).

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

730632960 is an frugal number, since it uses more digits than its factorization.

730632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 730632960 is about 27030.2230845400. The cubic root of 730632960 is about 900.6714988635.

Adding to 730632960 its reverse (69236037), we get a palindrome (799868997).

The spelling of 730632960 in words is "seven hundred thirty million, six hundred thirty-two thousand, nine hundred sixty".