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3114660 = 2235233761
BaseRepresentation
bin1011111000011010100100
312212020111210
423320122210
51244132120
6150431420
735321433
oct13703244
95766453
103114660
1118380aa
121062570
138508c3
145b111a
15417ce0
hex2f86a4

3114660 has 96 divisors (see below), whose sum is σ = 9499392. Its totient is φ = 760320.

The previous prime is 3114611. The next prime is 3114673. The reversal of 3114660 is 664113.

3114660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31146602 = 19402213831200, 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, 51030 + ... + 51090.

It is an arithmetic number, because the mean of its divisors is an integer number (98952).

Almost surely, 23114660 is an apocalyptic number.

3114660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749696).

3114660 is an abundant number, since it is smaller than the sum of its proper divisors (6384732).

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

3114660 is a wasteful number, since it uses less digits than its factorization.

3114660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3114660 is about 1764.8399360849. The cubic root of 3114660 is about 146.0394589036.

Adding to 3114660 its reverse (664113), we get a palindrome (3778773).

The spelling of 3114660 in words is "three million, one hundred fourteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 37 46 60 61 69 74 92 111 115 122 138 148 183 185 222 230 244 276 305 345 366 370 444 460 555 610 690 732 740 851 915 1110 1220 1380 1403 1702 1830 2220 2257 2553 2806 3404 3660 4209 4255 4514 5106 5612 6771 7015 8418 8510 9028 10212 11285 12765 13542 14030 16836 17020 21045 22570 25530 27084 28060 33855 42090 45140 51060 51911 67710 84180 103822 135420 155733 207644 259555 311466 519110 622932 778665 1038220 1557330 3114660