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3360000224 = 257173128463
BaseRepresentation
bin1100100001000101…
…1000100011100000
322200011102200210202
43020101120203200
523340130001344
61313224244332
7146156350010
oct31021304340
98604380722
103360000224
1114746a5999
127993106a8
1341715c419
1423c357c40
15149ea594e
hexc84588e0

3360000224 has 96 divisors (see below), whose sum is σ = 8263213056. Its totient is φ = 1311528960.

The previous prime is 3360000211. The next prime is 3360000239. The reversal of 3360000224 is 4220000633.

It is a super-2 number, since 2×33600002242 = 22579203010560100352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3360000196 and 3360000205.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 103817 + ... + 132279.

It is an arithmetic number, because the mean of its divisors is an integer number (86075136).

Almost surely, 23360000224 is an apocalyptic number.

3360000224 is a gapful number since it is divisible by the number (34) 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 3360000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131606528).

3360000224 is an abundant number, since it is smaller than the sum of its proper divisors (4903212832).

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

3360000224 is a wasteful number, since it uses less digits than its factorization.

3360000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28528 (or 28520 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3360000224 is about 57965.5089169413. The cubic root of 3360000224 is about 1497.7745107276.

Adding to 3360000224 its reverse (4220000633), we get a palindrome (7580000857).

The spelling of 3360000224 in words is "three billion, three hundred sixty million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 68 112 119 124 136 217 224 238 248 272 434 476 496 527 544 868 952 992 1054 1736 1904 2108 3472 3689 3808 4216 6944 7378 8432 14756 16864 28463 29512 56926 59024 113852 118048 199241 227704 398482 455408 483871 796964 882353 910816 967742 1593928 1764706 1935484 3187856 3387097 3529412 3870968 6176471 6375712 6774194 7058824 7741936 12352942 13548388 14117648 15000001 15483872 24705884 27096776 28235296 30000002 49411768 54193552 60000004 98823536 105000007 108387104 120000008 197647072 210000014 240000016 420000028 480000032 840000056 1680000112 3360000224