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1384824064 = 2813312433
BaseRepresentation
bin101001010001010…
…1011110100000000
310120111210100111011
41102202223310000
510314003332224
6345225330304
746213544641
oct12242536400
93514710434
101384824064
116507738a8
12327936994
13190b97030
14d1cc16c8
1581898394
hex528abd00

1384824064 has 108 divisors (see below), whose sum is σ = 3083102148. Its totient is φ = 617103360.

The previous prime is 1384824059. The next prime is 1384824071. The reversal of 1384824064 is 4604284831.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 179345664 + 1205478400 = 13392^2 + 34720^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3197992 + ... + 3198424.

Almost surely, 21384824064 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 1384824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541551074).

1384824064 is an abundant number, since it is smaller than the sum of its proper divisors (1698278084).

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

1384824064 is an equidigital number, since it uses as much as digits as its factorization.

1384824064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 1384824064 is about 37213.2243160949. The cubic root of 1384824064 is about 1114.6320688065.

The spelling of 1384824064 in words is "one billion, three hundred eighty-four million, eight hundred twenty-four thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 433 496 806 832 866 961 992 1612 1664 1732 1922 1984 3224 3328 3464 3844 3968 5629 6448 6928 7688 7936 11258 12493 12896 13423 13856 15376 22516 24986 25792 26846 27712 30752 45032 49972 51584 53692 55424 61504 90064 99944 103168 107384 110848 123008 174499 180128 199888 214768 246016 348998 360256 399776 416113 429536 697996 720512 799552 832226 859072 1395992 1441024 1599104 1664452 1718144 2791984 3198208 3328904 3436288 5409469 5583968 6657808 10818938 11167936 13315616 21637876 22335872 26631232 43275752 44671744 53262464 86551504 106524928 173103008 346206016 692412032 1384824064