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3355785320 = 23519103163263
BaseRepresentation
bin1100100000000101…
…0011100001101000
322122212111120001012
43020001103201220
523333040112240
61312554043052
7146105463446
oct31001234150
98585446035
103355785320
1114722871a8
12797a19488
13416314ab4
1423b97bb96
15149921b65
hexc8053868

3355785320 has 128 divisors (see below), whose sum is σ = 8105011200. Its totient is φ = 1246834944.

The previous prime is 3355785311. The next prime is 3355785347. The reversal of 3355785320 is 235875533.

It is a happy number.

It is a super-2 number, since 2×33557853202 = 22522590227855004800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 12759509 + ... + 12759771.

It is an arithmetic number, because the mean of its divisors is an integer number (63320400).

Almost surely, 23355785320 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 3355785320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052505600).

3355785320 is an abundant number, since it is smaller than the sum of its proper divisors (4749225880).

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

3355785320 is a wasteful number, since it uses less digits than its factorization.

3355785320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 41.

The square root of 3355785320 is about 57929.1405080379. The cubic root of 3355785320 is about 1497.1479614283.

The spelling of 3355785320 in words is "three billion, three hundred fifty-five million, seven hundred eighty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 103 152 163 190 206 263 326 380 412 515 526 652 760 815 824 1030 1052 1304 1315 1630 1957 2060 2104 2630 3097 3260 3914 4120 4997 5260 6194 6520 7828 9785 9994 10520 12388 15485 15656 16789 19570 19988 24776 24985 27089 30970 33578 39140 39976 42869 49970 54178 61940 67156 78280 83945 85738 99940 108356 123880 134312 135445 167890 171476 199880 214345 216712 270890 318991 335780 342952 428690 514691 541780 637982 671560 814511 857380 1029382 1083560 1275964 1594955 1629022 1714760 2058764 2551928 2573455 3189910 3258044 4072555 4117528 4415507 5146910 6379820 6516088 8145110 8831014 10293820 12759640 16290220 17662028 20587640 22077535 32580440 35324056 44155070 83894633 88310140 167789266 176620280 335578532 419473165 671157064 838946330 1677892660 3355785320