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644384040 = 233579101673
BaseRepresentation
bin100110011010001…
…000010100101000
31122220112002201120
4212122020110220
52304430242130
6143535215240
721653113446
oct4632102450
91586462646
10644384040
113008132a3
1215b977520
13a3668a41
146181bb96
153b888910
hex26688528

644384040 has 128 divisors (see below), whose sum is σ = 1979942400. Its totient is φ = 167731200.

The previous prime is 644384033. The next prime is 644384057. The reversal of 644384040 is 40483446.

It is a junction number, because it is equal to n+sod(n) for n = 644383992 and 644384010.

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, 957144 + ... + 957816.

It is an arithmetic number, because the mean of its divisors is an integer number (15468300).

Almost surely, 2644384040 is an apocalyptic number.

644384040 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 644384040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989971200).

644384040 is an abundant number, since it is smaller than the sum of its proper divisors (1335558360).

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

644384040 is a wasteful number, since it uses less digits than its factorization.

644384040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 644384040 is about 25384.7206011805. The cubic root of 644384040 is about 863.7371349684.

The spelling of 644384040 in words is "six hundred forty-four million, three hundred eighty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 101 120 158 202 237 303 316 395 404 474 505 606 632 673 790 808 948 1010 1185 1212 1346 1515 1580 1896 2019 2020 2370 2424 2692 3030 3160 3365 4038 4040 4740 5384 6060 6730 7979 8076 9480 10095 12120 13460 15958 16152 20190 23937 26920 31916 39895 40380 47874 53167 63832 67973 79790 80760 95748 106334 119685 135946 159501 159580 191496 203919 212668 239370 265835 271892 319002 319160 339865 407838 425336 478740 531670 543784 638004 679730 797505 815676 957480 1019595 1063340 1276008 1359460 1595010 1631352 2039190 2126680 2718920 3190020 4078380 5369867 6380040 8156760 10739734 16109601 21479468 26849335 32219202 42958936 53698670 64438404 80548005 107397340 128876808 161096010 214794680 322192020 644384040