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3188880084 = 22313711272267
BaseRepresentation
bin1011111000010010…
…0111001011010100
322020020102220002210
42332010213023110
523012323130314
61244232433420
7142011014325
oct27604471324
98206386083
103188880084
111397048895
1274bb48870
133ba8772c0
1422373244c
15139e53559
hexbe1272d4

3188880084 has 96 divisors (see below), whose sum is σ = 8193540096. Its totient is φ = 959333760.

The previous prime is 3188880073. The next prime is 3188880091. The reversal of 3188880084 is 4800888813.

3188880084 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 1405519 + ... + 1407785.

It is an arithmetic number, because the mean of its divisors is an integer number (85349376).

Almost surely, 23188880084 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 3188880084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096770048).

3188880084 is an abundant number, since it is smaller than the sum of its proper divisors (5004660012).

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

3188880084 is a wasteful number, since it uses less digits than its factorization.

3188880084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 48.

The square root of 3188880084 is about 56470.1698598472. The cubic root of 3188880084 is about 1471.9036967607.

The spelling of 3188880084 in words is "three billion, one hundred eighty-eight million, eight hundred eighty thousand, eighty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 127 142 156 213 254 284 381 426 508 762 852 923 1524 1651 1846 2267 2769 3302 3692 4534 4953 5538 6604 6801 9017 9068 9906 11076 13602 18034 19812 27051 27204 29471 36068 54102 58942 88413 108204 117221 117884 160957 176826 234442 287909 321914 351663 353652 468884 482871 575818 643828 703326 863727 965742 1151636 1406652 1727454 1931484 2092441 3454908 3742817 4184882 6277323 7485634 8369764 11228451 12554646 14971268 20441539 22456902 25109292 40883078 44913804 61324617 81766156 122649234 245298468 265740007 531480014 797220021 1062960028 1594440042 3188880084