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644304240 = 24335313953
BaseRepresentation
bin100110011001110…
…100110101110000
31122220101001021000
4212121310311300
52304420213430
6143533402000
721652332006
oct4631646560
91586331230
10644304240
11300769348
1215b939300
13a363b618
14617daa76
153b86ee60
hex26674d70

644304240 has 160 divisors (see below), whose sum is σ = 2228696640. Its totient is φ = 171085824.

The previous prime is 644304229. The next prime is 644304253. The reversal of 644304240 is 42403446.

644304240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 675604 + ... + 676556.

It is an arithmetic number, because the mean of its divisors is an integer number (13929354).

Almost surely, 2644304240 is an apocalyptic number.

644304240 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 644304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114348320).

644304240 is an abundant number, since it is smaller than the sum of its proper divisors (1584392400).

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

644304240 is a wasteful number, since it uses less digits than its factorization.

644304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 644304240 is about 25383.1487408477. The cubic root of 644304240 is about 863.7014786597.

Adding to 644304240 its reverse (42403446), we get a palindrome (686707686).

The spelling of 644304240 in words is "six hundred forty-four million, three hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 313 360 432 540 626 720 939 953 1080 1252 1565 1878 1906 2160 2504 2817 2859 3130 3756 3812 4695 4765 5008 5634 5718 6260 7512 7624 8451 8577 9390 9530 11268 11436 12520 14085 14295 15024 15248 16902 17154 18780 19060 22536 22872 25040 25731 28170 28590 33804 34308 37560 38120 42255 42885 45072 45744 51462 56340 57180 67608 68616 75120 76240 84510 85770 102924 112680 114360 128655 135216 137232 169020 171540 205848 225360 228720 257310 298289 338040 343080 411696 514620 596578 676080 686160 894867 1029240 1193156 1491445 1789734 2058480 2386312 2684601 2982890 3579468 4474335 4772624 5369202 5965780 7158936 8053803 8948670 10738404 11931560 13423005 14317872 16107606 17897340 21476808 23863120 26846010 32215212 35794680 40269015 42953616 53692020 64430424 71589360 80538030 107384040 128860848 161076060 214768080 322152120 644304240