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645360320 = 265111391319
BaseRepresentation
bin100110011101110…
…110101011000000
31122222100200221002
4212131312223000
52310203012240
6144012151132
721664320653
oct4635665300
91588320832
10645360320
1130131a840
121601684a8
13a391b217
14619d389a
153b9ccd15
hex26776ac0

645360320 has 112 divisors (see below), whose sum is σ = 1689811200. Its totient is φ = 232811520.

The previous prime is 645360293. The next prime is 645360343. The reversal of 645360320 is 23063546.

645360320 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 15 ways as a sum of consecutive naturals, for example, 488621 + ... + 489939.

It is an arithmetic number, because the mean of its divisors is an integer number (15087600).

Almost surely, 2645360320 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 645360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844905600).

645360320 is an abundant number, since it is smaller than the sum of its proper divisors (1044450880).

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

645360320 is a wasteful number, since it uses less digits than its factorization.

645360320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 645360320 is about 25403.9430010382. The cubic root of 645360320 is about 864.1731191736.

The spelling of 645360320 in words is "six hundred forty-five million, three hundred sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 139 160 176 220 278 320 352 440 556 695 704 880 1112 1319 1390 1529 1760 2224 2638 2780 3058 3520 4448 5276 5560 6116 6595 7645 8896 10552 11120 12232 13190 14509 15290 21104 22240 24464 26380 29018 30580 42208 44480 48928 52760 58036 61160 72545 84416 97856 105520 116072 122320 145090 183341 211040 232144 244640 290180 366682 422080 464288 489280 580360 733364 916705 928576 1160720 1466728 1833410 2016751 2321440 2933456 3666820 4033502 4642880 5866912 7333640 8067004 10083755 11733824 14667280 16134008 20167510 29334560 32268016 40335020 58669120 64536032 80670040 129072064 161340080 322680160 645360320