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3368104344 = 2332114398899
BaseRepresentation
bin1100100011000001…
…0011000110011000
322200201200102120100
43020300103012120
523344213314334
61314114055400
7146315262123
oct31060230630
98621612510
103368104344
111479230710
1279bb7a560
13418a39067
1423d4673ba
1514aa56c99
hexc8c13198

3368104344 has 96 divisors (see below), whose sum is σ = 10182744000. Its totient is φ = 996891840.

The previous prime is 3368104309. The next prime is 3368104351. The reversal of 3368104344 is 4434018633.

It is a happy number.

It is a super-2 number, since 2×33681043442 = 22688253744143340672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3368104299 and 3368104308.

It is a congruent number.

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, 15394 + ... + 83505.

It is an arithmetic number, because the mean of its divisors is an integer number (106070250).

Almost surely, 23368104344 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 3368104344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091372000).

3368104344 is an abundant number, since it is smaller than the sum of its proper divisors (6814639656).

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

3368104344 is a wasteful number, since it uses less digits than its factorization.

3368104344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98965 (or 98958 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3368104344 is about 58035.3714901525. The cubic root of 3368104344 is about 1498.9777247939.

The spelling of 3368104344 in words is "three billion, three hundred sixty-eight million, one hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 43 44 66 72 86 88 99 129 132 172 198 258 264 344 387 396 473 516 774 792 946 1032 1419 1548 1892 2838 3096 3784 4257 5676 8514 11352 17028 34056 98899 197798 296697 395596 593394 791192 890091 1087889 1186788 1780182 2175778 2373576 3263667 3560364 4252657 4351556 6527334 7120728 8505314 8703112 9791001 12757971 13054668 17010628 19582002 25515942 26109336 34021256 38273913 39164004 46779227 51031884 76547826 78328008 93558454 102063768 140337681 153095652 187116908 280675362 306191304 374233816 421013043 561350724 842026086 1122701448 1684052172 3368104344