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634789320 = 2335111313671
BaseRepresentation
bin100101110101100…
…001110111001000
31122020110122020120
4211311201313020
52300001224240
6142553423240
721505422504
oct4565416710
91566418216
10634789320
112a635a680
1215870ab20
13a16897a9
1460441304
153aae0ad0
hex25d61dc8

634789320 has 128 divisors (see below), whose sum is σ = 2093921280. Its totient is φ = 152672000.

The previous prime is 634789313. The next prime is 634789339. The reversal of 634789320 is 23987436.

634789320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171085 + ... + 174755.

It is an arithmetic number, because the mean of its divisors is an integer number (16358760).

Almost surely, 2634789320 is an apocalyptic number.

634789320 is a gapful number since it is divisible by the number (60) 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 634789320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046960640).

634789320 is an abundant number, since it is smaller than the sum of its proper divisors (1459131960).

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

634789320 is a wasteful number, since it uses less digits than its factorization.

634789320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 634789320 is about 25195.0256995305. The cubic root of 634789320 is about 859.4287354521.

The spelling of 634789320 in words is "six hundred thirty-four million, seven hundred eighty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 131 132 165 220 262 264 330 393 440 524 655 660 786 1048 1310 1320 1441 1572 1965 2620 2882 3144 3671 3930 4323 5240 5764 7205 7342 7860 8646 11013 11528 14410 14684 15720 17292 18355 21615 22026 28820 29368 34584 36710 40381 43230 44052 55065 57640 73420 80762 86460 88104 110130 121143 146840 161524 172920 201905 220260 242286 323048 403810 440520 480901 484572 605715 807620 961802 969144 1211430 1442703 1615240 1923604 2404505 2422860 2885406 3847208 4809010 4845720 5289911 5770812 7213515 9618020 10579822 11541624 14427030 15869733 19236040 21159644 26449555 28854060 31739466 42319288 52899110 57708120 63478932 79348665 105798220 126957864 158697330 211596440 317394660 634789320