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3112305140 = 225731977393
BaseRepresentation
bin1011100110000010…
…0000000111110100
322000220100111000202
42321200200013310
522333222231030
61232455300032
7140061104630
oct27140400764
98026314022
103112305140
1113578a6a0a
1272a37a618
133a7a45b99
142174bbdc0
15133379745
hexb98201f4

3112305140 has 96 divisors (see below), whose sum is σ = 7791028224. Its totient is φ = 1021870080.

The previous prime is 3112305103. The next prime is 3112305149. The reversal of 3112305140 is 415032113.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112305149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417284 + ... + 424676.

It is an arithmetic number, because the mean of its divisors is an integer number (81156544).

Almost surely, 23112305140 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 3112305140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895514112).

3112305140 is an abundant number, since it is smaller than the sum of its proper divisors (4678723084).

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

3112305140 is a wasteful number, since it uses less digits than its factorization.

3112305140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7537 (or 7535 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 3112305140 is about 55788.0376066411. The cubic root of 3112305140 is about 1460.0264491362.

Adding to 3112305140 its reverse (415032113), we get a palindrome (3527337253).

The spelling of 3112305140 in words is "three billion, one hundred twelve million, three hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 97 124 140 155 194 217 310 388 434 485 620 679 868 970 1085 1358 1940 2170 2716 3007 3395 4340 6014 6790 7393 12028 13580 14786 15035 21049 29572 30070 36965 42098 51751 60140 73930 84196 103502 105245 147860 207004 210490 229183 258755 420980 458366 517510 717121 916732 1035020 1145915 1434242 1604281 2291830 2868484 3208562 3585605 4583660 5019847 6417124 7171210 8021405 10039694 14342420 16042810 20079388 22230751 25099235 32085620 44461502 50198470 88923004 100396940 111153755 155615257 222307510 311230514 444615020 622461028 778076285 1556152570 3112305140