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643934480 = 2457331757
BaseRepresentation
bin100110011000011…
…010100100010000
31122212200021001012
4212120122210100
52304321400410
6143521430052
721646232000
oct4630324420
91585607035
10643934480
11300536562
1215b79b328
13a353c227
1461742000
153b7ea605
hex2661a910

643934480 has 160 divisors (see below), whose sum is σ = 1804646400. Its totient is φ = 213373440.

The previous prime is 643934477. The next prime is 643934497. The reversal of 643934480 is 84439346.

643934480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6439344802 = 829303229065740800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 850262 + ... + 851018.

It is an arithmetic number, because the mean of its divisors is an integer number (11279040).

Almost surely, 2643934480 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 643934480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902323200).

643934480 is an abundant number, since it is smaller than the sum of its proper divisors (1160711920).

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

643934480 is a wasteful number, since it uses less digits than its factorization.

643934480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The square root of 643934480 is about 25375.8641232176. The cubic root of 643934480 is about 863.5362237219.

The spelling of 643934480 in words is "six hundred forty-three million, nine hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 49 56 62 70 80 98 112 124 140 155 196 217 245 248 280 310 343 392 434 490 496 560 620 686 757 784 868 980 1085 1240 1372 1514 1519 1715 1736 1960 2170 2480 2744 3028 3038 3430 3472 3785 3920 4340 5299 5488 6056 6076 6860 7570 7595 8680 10598 10633 12112 12152 13720 15140 15190 17360 21196 21266 23467 24304 26495 27440 30280 30380 37093 42392 42532 46934 52990 53165 60560 60760 74186 84784 85064 93868 105980 106330 117335 121520 148372 164269 170128 185465 187736 211960 212660 234670 259651 296744 328538 370930 375472 423920 425320 469340 519302 593488 657076 741860 821345 850640 938680 1038604 1149883 1298255 1314152 1483720 1642690 1877360 2077208 2299766 2596510 2628304 2967440 3285380 4154416 4599532 5193020 5749415 6570760 8049181 9199064 10386040 11498830 13141520 16098362 18398128 20772080 22997660 32196724 40245905 45995320 64393448 80491810 91990640 128786896 160983620 321967240 643934480