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730838304 = 253272271597
BaseRepresentation
bin101011100011111…
…011010100100000
31212221012102200100
4223203323110200
52444043311204
6200304222400
724053010630
oct5343732440
91787172610
10730838304
113455a26a9
1218490aa00
13b8548b01
146d0c46c0
1544264a39
hex2b8fb520

730838304 has 144 divisors (see below), whose sum is σ = 2387181888. Its totient is φ = 207760896.

The previous prime is 730838291. The next prime is 730838321. The reversal of 730838304 is 403838037.

730838304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456834 + ... + 458430.

It is an arithmetic number, because the mean of its divisors is an integer number (16577652).

Almost surely, 2730838304 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 730838304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193590944).

730838304 is an abundant number, since it is smaller than the sum of its proper divisors (1656343584).

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

730838304 is a wasteful number, since it uses less digits than its factorization.

730838304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 730838304 is about 27034.0212325137. The cubic root of 730838304 is about 900.7558687065.

The spelling of 730838304 in words is "seven hundred thirty million, eight hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 227 252 288 336 454 504 672 681 908 1008 1362 1589 1597 1816 2016 2043 2724 3178 3194 3632 4086 4767 4791 5448 6356 6388 7264 8172 9534 9582 10896 11179 12712 12776 14301 14373 16344 19068 19164 21792 22358 25424 25552 28602 28746 32688 33537 38136 38328 44716 50848 51104 57204 57492 65376 67074 76272 76656 89432 100611 114408 114984 134148 152544 153312 178864 201222 228816 229968 268296 357728 362519 402444 457632 459936 536592 725038 804888 1073184 1087557 1450076 1609776 2175114 2537633 2900152 3219552 3262671 4350228 5075266 5800304 6525342 7612899 8700456 10150532 11600608 13050684 15225798 17400912 20301064 22838697 26101368 30451596 34801824 40602128 45677394 52202736 60903192 81204256 91354788 104405472 121806384 182709576 243612768 365419152 730838304