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3112303208 = 2372191034057
BaseRepresentation
bin1011100110000001…
…1111101001101000
322000220100101101012
42321200133221220
522333222200313
61232455243052
7140061066200
oct27140375150
98026311335
103112303208
1113578a5513
1272a379488
133a7a45041
142174bb400
15133378da8
hexb981fa68

3112303208 has 96 divisors (see below), whose sum is σ = 7216747200. Its totient is φ = 1251065088.

The previous prime is 3112303163. The next prime is 3112303241. The reversal of 3112303208 is 8023032113.

3112303208 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-3 number, since 3×31123032083 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 765116 + ... + 769172.

It is an arithmetic number, because the mean of its divisors is an integer number (75174450).

Almost surely, 23112303208 is an apocalyptic number.

3112303208 is a gapful number since it is divisible by the number (38) 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 3112303208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608373600).

3112303208 is an abundant number, since it is smaller than the sum of its proper divisors (4104443992).

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

3112303208 is a wasteful number, since it uses less digits than its factorization.

3112303208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4199 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 3112303208 is about 55788.0202910983. The cubic root of 3112303208 is about 1460.0261470266.

It can be divided in two parts, 3 and 112303208, that added together give a palindrome (112303211).

The spelling of 3112303208 in words is "three billion, one hundred twelve million, three hundred three thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 103 133 152 196 206 266 392 412 532 721 824 931 1064 1442 1862 1957 2884 3724 3914 4057 5047 5768 7448 7828 8114 10094 13699 15656 16228 20188 27398 28399 32456 40376 54796 56798 77083 95893 109592 113596 154166 191786 198793 227192 308332 383572 397586 417871 539581 616664 767144 795172 835742 1079162 1590344 1671484 2158324 2925097 3342968 3777067 4316648 5850194 7554134 7939549 11700388 15108268 15879098 20475679 23400776 30216536 31758196 40951358 55576843 63516392 81902716 111153686 163805432 222307372 389037901 444614744 778075802 1556151604 3112303208