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3384381728 = 257131162219
BaseRepresentation
bin1100100110111001…
…1001000100100000
322201212022101221102
43021232121010200
523412400203403
61315455013532
7146603525060
oct31156310440
98655271842
103384381728
1114874390a2
127a550a2a8
1341c217c50
142416a33a0
1514c1beb88
hexc9b99120

3384381728 has 48 divisors (see below), whose sum is σ = 8200624320. Its totient is φ = 1338875136.

The previous prime is 3384381719. The next prime is 3384381733. The reversal of 3384381728 is 8271834833.

It is a super-2 number, since 2×33843817282 = 22908079361640531968, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 578198 + ... + 584021.

It is an arithmetic number, because the mean of its divisors is an integer number (170846340).

Almost surely, 23384381728 is an apocalyptic number.

It is an amenable number.

3384381728 is an abundant number, since it is smaller than the sum of its proper divisors (4816242592).

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

3384381728 is a wasteful number, since it uses less digits than its factorization.

3384381728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162249 (or 1162241 counting only the distinct ones).

The product of its digits is 774144, while the sum is 47.

The square root of 3384381728 is about 58175.4392162191. The cubic root of 3384381728 is about 1501.3885997601.

The spelling of 3384381728 in words is "three billion, three hundred eighty-four million, three hundred eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 1162219 2324438 4648876 8135533 9297752 15108847 16271066 18595504 30217694 32542132 37191008 60435388 65084264 105761929 120870776 130168528 211523858 241741552 260337056 423047716 483483104 846095432 1692190864 3384381728