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730163328 = 27317373023
BaseRepresentation
bin101011100001010…
…110100010000000
31212212221010210020
4223201112202000
52443410211303
6200241533440
724044200026
oct5341264200
91785833706
10730163328
11345181574
12184644280
13b837080b
146cd8a716
154417ea53
hex2b856880

730163328 has 128 divisors (see below), whose sum is σ = 2109784320. Its totient is φ = 222806016.

The previous prime is 730163261. The next prime is 730163333. The reversal of 730163328 is 823361037.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 240025 + ... + 243047.

It is an arithmetic number, because the mean of its divisors is an integer number (16482690).

Almost surely, 2730163328 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 730163328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054892160).

730163328 is an abundant number, since it is smaller than the sum of its proper divisors (1379620992).

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

730163328 is a wasteful number, since it uses less digits than its factorization.

730163328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 730163328 is about 27021.5345234130. The cubic root of 730163328 is about 900.4784813747.

The spelling of 730163328 in words is "seven hundred thirty million, one hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 64 68 74 96 102 111 128 136 148 192 204 222 272 296 384 408 444 544 592 629 816 888 1088 1184 1258 1632 1776 1887 2176 2368 2516 3023 3264 3552 3774 4736 5032 6046 6528 7104 7548 9069 10064 12092 14208 15096 18138 20128 24184 30192 36276 40256 48368 51391 60384 72552 80512 96736 102782 111851 120768 145104 154173 193472 205564 223702 241536 290208 308346 335553 386944 411128 447404 580416 616692 671106 822256 894808 1160832 1233384 1342212 1644512 1789616 1901467 2466768 2684424 3289024 3579232 3802934 4933536 5368848 5704401 6578048 7158464 7605868 9867072 10737696 11408802 14316928 15211736 19734144 21475392 22817604 30423472 42950784 45635208 60846944 91270416 121693888 182540832 243387776 365081664 730163328