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3340334312 = 23736718169
BaseRepresentation
bin1100011100011001…
…0111010011101000
322121210102120020122
43013012113103220
523320111144222
61311242542412
7145530242000
oct30706272350
98553376218
103340334312
111464593677
12792807a08
134130650a3
142398b9000
151483bda42
hexc71974e8

3340334312 has 64 divisors (see below), whose sum is σ = 7413360000. Its totient is φ = 1410127488.

The previous prime is 3340334293. The next prime is 3340334339. The reversal of 3340334312 is 2134330433.

It is a happy number.

3340334312 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 2×33403343122 = 22315666631849026688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174764 + ... + 192932.

It is an arithmetic number, because the mean of its divisors is an integer number (115833750).

Almost surely, 23340334312 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 3340334312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706680000).

3340334312 is an abundant number, since it is smaller than the sum of its proper divisors (4073025688).

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

3340334312 is a wasteful number, since it uses less digits than its factorization.

3340334312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18263 (or 18245 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

The square root of 3340334312 is about 57795.6253707839. The cubic root of 3340334312 is about 1494.8466581723.

Adding to 3340334312 its reverse (2134330433), we get a palindrome (5474664745).

The spelling of 3340334312 in words is "three billion, three hundred forty million, three hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 67 98 134 196 268 343 392 469 536 686 938 1372 1876 2744 3283 3752 6566 13132 18169 22981 26264 36338 45962 72676 91924 127183 145352 183848 254366 508732 890281 1017464 1217323 1780562 2434646 3561124 4869292 6231967 7122248 8521261 9738584 12463934 17042522 24927868 34085044 49855736 59648827 68170088 119297654 238595308 417541789 477190616 835083578 1670167156 3340334312