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730661568 = 263713193171
BaseRepresentation
bin101011100011010…
…000001011000000
31212220212110020120
4223203100023000
52444022132233
6200300340240
724051343440
oct5343201300
91786773216
10730661568
1134549193a
12184844680
13b84b6530
146d07a120
154422c4b3
hex2b8d02c0

730661568 has 448 divisors, whose sum is σ = 2621767680. Its totient is φ = 174182400.

The previous prime is 730661567. The next prime is 730661611. The reversal of 730661568 is 865166037.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (730661563) 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 63 ways as a sum of consecutive naturals, for example, 10290973 + ... + 10291043.

It is an arithmetic number, because the mean of its divisors is an integer number (5852160).

Almost surely, 2730661568 is an apocalyptic number.

730661568 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730661568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310883840).

730661568 is an abundant number, since it is smaller than the sum of its proper divisors (1891106112).

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

730661568 is a wasteful number, since it uses less digits than its factorization.

730661568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 730661568 is about 27030.7522647817. The cubic root of 730661568 is about 900.6832540015.

The spelling of 730661568 in words is "seven hundred thirty million, six hundred sixty-one thousand, five hundred sixty-eight".