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3213303320 = 2352319318097
BaseRepresentation
bin1011111110000111…
…0001111000011000
322021221101201111002
42333201301320120
523040101201240
61250504124132
7142425425153
oct27741617030
98257351432
103213303320
1113a990a387
12758166648
133c2948b16
14226a8cc9a
1513c179d15
hexbf871e18

3213303320 has 64 divisors (see below), whose sum is σ = 7583785920. Its totient is φ = 1223000064.

The previous prime is 3213303293. The next prime is 3213303341. The reversal of 3213303320 is 233033123.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3213303292 and 3213303301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168512 + ... + 186608.

It is an arithmetic number, because the mean of its divisors is an integer number (118496655).

Almost surely, 23213303320 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 3213303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791892960).

3213303320 is an abundant number, since it is smaller than the sum of its proper divisors (4370482600).

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

3213303320 is a wasteful number, since it uses less digits than its factorization.

3213303320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18324 (or 18320 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 3213303320 is about 56686.0063860562. The cubic root of 3213303320 is about 1475.6518532199.

Adding to 3213303320 its reverse (233033123), we get a palindrome (3446336443).

The spelling of 3213303320 in words is "three billion, two hundred thirteen million, three hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 193 230 386 460 772 920 965 1544 1930 3860 4439 7720 8878 17756 18097 22195 35512 36194 44390 72388 88780 90485 144776 177560 180970 361940 416231 723880 832462 1664924 2081155 3329848 3492721 4162310 6985442 8324620 13970884 16649240 17463605 27941768 34927210 69854420 80332583 139708840 160665166 321330332 401662915 642660664 803325830 1606651660 3213303320