Search a number
-
+
3311320000 = 2654194357
BaseRepresentation
bin1100010101011110…
…1011101111000000
322112202211111002111
43011113223233000
523240144220000
61304325025104
7145025520112
oct30527535700
98482744074
103311320000
11144a1767aa
12784b55194
1340a046961
14235ac53b2
15145a8bcba
hexc55ebbc0

3311320000 has 140 divisors (see below), whose sum is σ = 8645138920. Its totient is φ = 1254528000.

The previous prime is 3311319989. The next prime is 3311320013. The reversal of 3311320000 is 231133.

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 19 ways as a sum of consecutive naturals, for example, 757822 + ... + 762178.

Almost surely, 23311320000 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 3311320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322569460).

3311320000 is an abundant number, since it is smaller than the sum of its proper divisors (5333818920).

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

3311320000 is an equidigital number, since it uses as much as digits as its factorization.

3311320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 3311320000 is about 57544.0700680791. The cubic root of 3311320000 is about 1490.5059615278.

Adding to 3311320000 its reverse (231133), we get a palindrome (3311551133).

The spelling of 3311320000 in words is "three billion, three hundred eleven million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 380 400 475 500 608 625 760 800 950 1000 1216 1250 1520 1600 1900 2000 2375 2500 3040 3800 4000 4357 4750 5000 6080 7600 8000 8714 9500 10000 11875 15200 17428 19000 20000 21785 23750 30400 34856 38000 40000 43570 47500 69712 76000 82783 87140 95000 108925 139424 152000 165566 174280 190000 217850 278848 331132 348560 380000 413915 435700 544625 662264 697120 760000 827830 871400 1089250 1324528 1394240 1655660 1742800 2069575 2178500 2649056 2723125 3311320 3485600 4139150 4357000 5298112 5446250 6622640 6971200 8278300 8714000 10347875 10892500 13245280 16556600 17428000 20695750 21785000 26490560 33113200 34856000 41391500 43570000 51739375 66226400 82783000 87140000 103478750 132452800 165566000 174280000 206957500 331132000 413915000 662264000 827830000 1655660000 3311320000