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3311320014 = 2341031911039
BaseRepresentation
bin1100010101011110…
…1011101111001110
322112202211111010000
43011113223233032
523240144220024
61304325025130
7145025520132
oct30527535716
98482744100
103311320014
11144a176812
12784b551a6
1340a046972
14235ac53c2
15145a8bcc9
hexc55ebbce

3311320014 has 80 divisors (see below), whose sum is σ = 7538319360. Its totient is φ = 1086287760.

The previous prime is 3311320013. The next prime is 3311320037. The reversal of 3311320014 is 4100231133.

3311320014 is a `hidden beast` number, since 331 + 1 + 320 + 0 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311320013) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3186507 + ... + 3187545.

It is an arithmetic number, because the mean of its divisors is an integer number (94228992).

Almost surely, 23311320014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3311320014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769159680).

3311320014 is an abundant number, since it is smaller than the sum of its proper divisors (4226999346).

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

3311320014 is a wasteful number, since it uses less digits than its factorization.

3311320014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3311320014 is about 57544.0701897250. The cubic root of 3311320014 is about 1490.5059636284.

Adding to 3311320014 its reverse (4100231133), we get a palindrome (7411551147).

The spelling of 3311320014 in words is "three billion, three hundred eleven million, three hundred twenty thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 191 206 309 382 573 618 927 1039 1146 1719 1854 2078 2781 3117 3438 5157 5562 6234 8343 9351 10314 15471 16686 18702 19673 28053 30942 39346 56106 59019 84159 107017 118038 168318 177057 198449 214034 321051 354114 396898 531171 595347 642102 963153 1062342 1190694 1593513 1786041 1926306 2889459 3187026 3572082 5358123 5778918 8668377 10716246 16074369 17336754 20440247 32148738 40880494 61320741 122641482 183962223 367924446 551886669 1103773338 1655660007 3311320014