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530734336 = 2811296797
BaseRepresentation
bin11111101000100…
…101110100000000
31100222200002122021
4133220211310000
52041331444321
6124355251224
716103111266
oct3750456400
91328602567
10530734336
11252649620
121298a9b14
1385c563b2
14506b6436
15318d9941
hex1fa25d00

530734336 has 144 divisors (see below), whose sum is σ = 1225909440. Its totient is φ = 227082240.

The previous prime is 530734333. The next prime is 530734411. The reversal of 530734336 is 633437035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530734333) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5471440 + ... + 5471536.

It is an arithmetic number, because the mean of its divisors is an integer number (8513260).

Almost surely, 2530734336 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 530734336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612954720).

530734336 is an abundant number, since it is smaller than the sum of its proper divisors (695175104).

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

530734336 is a wasteful number, since it uses less digits than its factorization.

530734336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 34.

The square root of 530734336 is about 23037.6721046203. The cubic root of 530734336 is about 809.6408182433.

The spelling of 530734336 in words is "five hundred thirty million, seven hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 67 88 97 116 128 134 176 194 232 256 268 319 352 388 464 536 638 704 737 776 928 1067 1072 1276 1408 1474 1552 1856 1943 2134 2144 2552 2813 2816 2948 3104 3712 3886 4268 4288 5104 5626 5896 6208 6499 7424 7772 8536 8576 10208 11252 11792 12416 12998 15544 17072 17152 20416 21373 22504 23584 24832 25996 30943 31088 34144 40832 42746 45008 47168 51992 61886 62176 68288 71489 81664 85492 90016 94336 103984 123772 124352 136576 142978 170984 180032 188471 188672 207968 247544 248704 273152 285956 341968 360064 376942 415936 495088 497408 571912 683936 720128 753884 831872 990176 1143824 1367872 1507768 1663744 1980352 2073181 2287648 2735744 3015536 3960704 4146362 4575296 5471488 6031072 7921408 8292724 9150592 12062144 16585448 18301184 24124288 33170896 48248576 66341792 132683584 265367168 530734336