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3392816064 = 263113494603
BaseRepresentation
bin1100101000111010…
…0100001111000000
322202110011220200020
43022032210033000
523422030103224
61320355453440
7150035314011
oct31216441700
98673156606
103392816064
111491179a20
127a82b7280
13420babc91
1424285b008
1514ccd8c79
hexca3a43c0

3392816064 has 112 divisors (see below), whose sum is σ = 9823094400. Its totient is φ = 1024957440.

The previous prime is 3392816059. The next prime is 3392816069. The reversal of 3392816064 is 4606182933.

It is an interprime number because it is at equal distance from previous prime (3392816059) and next prime (3392816069).

It is a super-2 number, since 2×33928160642 = 23022401688272904192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3392816069) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 734787 + ... + 739389.

It is an arithmetic number, because the mean of its divisors is an integer number (87706200).

Almost surely, 23392816064 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 3392816064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4911547200).

3392816064 is an abundant number, since it is smaller than the sum of its proper divisors (6430278336).

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

3392816064 is a wasteful number, since it uses less digits than its factorization.

3392816064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 3392816064 is about 58247.8846311177. The cubic root of 3392816064 is about 1502.6347861139.

Adding to 3392816064 its reverse (4606182933), we get a palindrome (7998998997).

The spelling of 3392816064 in words is "three billion, three hundred ninety-two million, eight hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 349 352 528 698 704 1047 1056 1396 2094 2112 2792 3839 4188 4603 5584 7678 8376 9206 11168 11517 13809 15356 16752 18412 22336 23034 27618 30712 33504 36824 46068 50633 55236 61424 67008 73648 92136 101266 110472 122848 147296 151899 184272 202532 220944 245696 294592 303798 368544 405064 441888 607596 737088 810128 883776 1215192 1606447 1620256 2430384 3212894 3240512 4819341 4860768 6425788 9638682 9721536 12851576 17670917 19277364 25703152 35341834 38554728 51406304 53012751 70683668 77109456 102812608 106025502 141367336 154218912 212051004 282734672 308437824 424102008 565469344 848204016 1130938688 1696408032 3392816064