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3380957316 = 22321128812
BaseRepresentation
bin1100100110000101…
…0101000010000100
322201121212102112100
43021201111002010
523411011113231
61315253352100
7146532443262
oct31141250204
98647772470
103380957316
11148550a300
127a4338630
1341b5b9379
14241051432
1514bc451e6
hexc9855084

3380957316 has 81 divisors (see below), whose sum is σ = 9404551429. Its totient is φ = 1023369600.

The previous prime is 3380957311. The next prime is 3380957317. The reversal of 3380957316 is 6137590833.

The square root of 3380957316 is 58146.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 593117316 + 2787840000 = 24354^2 + 52800^2 .

It is a super-2 number, since 2×33809573162 = 22861744745227847712, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3380957311) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 3837196 + ... + 3838076.

Almost surely, 23380957316 is an apocalyptic number.

3380957316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3380957316 is the 58146-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3380957316

3380957316 is an abundant number, since it is smaller than the sum of its proper divisors (6023594113).

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

3380957316 is a wasteful number, since it uses less digits than its factorization.

3380957316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The cubic root of 3380957316 is about 1500.8820465609.

It can be divided in two parts, 33809 and 57316, that added together give a cube (91125 = 453).

The spelling of 3380957316 in words is "three billion, three hundred eighty million, nine hundred fifty-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 881 1089 1452 1762 2178 2643 3524 4356 5286 7929 9691 10572 15858 19382 29073 31716 38764 58146 87219 106601 116292 174438 213202 319803 348876 426404 639606 776161 959409 1279212 1552322 1918818 2328483 3104644 3837636 4656966 6985449 8537771 9313932 13970898 17075542 25613313 27941796 34151084 51226626 76839939 93915481 102453252 153679878 187830962 281746443 307359756 375661924 563492886 845239329 1126985772 1690478658 3380957316