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3345353344 = 27314120563
BaseRepresentation
bin1100011101100110…
…0000101010000000
322122010212120001201
43013121200222000
523322402301334
61311542310544
7145621014514
oct30731405200
98563776051
103345353344
111467401533
12794428454
13414101728
1423a424144
15148a60c14
hexc7660a80

3345353344 has 64 divisors (see below), whose sum is σ = 7047694080. Its totient is φ = 1579161600.

The previous prime is 3345353317. The next prime is 3345353353. The reversal of 3345353344 is 4433535433.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33453533442 = 22382777992423964672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152407 + ... + 172969.

It is an arithmetic number, because the mean of its divisors is an integer number (110120220).

Almost surely, 23345353344 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 3345353344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523847040).

3345353344 is an abundant number, since it is smaller than the sum of its proper divisors (3702340736).

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

3345353344 is a wasteful number, since it uses less digits than its factorization.

3345353344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20649 (or 20637 counting only the distinct ones).

The product of its digits is 388800, while the sum is 37.

The square root of 3345353344 is about 57839.0295907530. The cubic root of 3345353344 is about 1495.5949793399.

Adding to 3345353344 its reverse (4433535433), we get a palindrome (7778888777).

The spelling of 3345353344 in words is "three billion, three hundred forty-five million, three hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 128 164 248 328 496 656 992 1271 1312 1984 2542 2624 3968 5084 5248 10168 20336 20563 40672 41126 81344 82252 162688 164504 329008 637453 658016 843083 1274906 1316032 1686166 2549812 2632064 3372332 5099624 6744664 10199248 13489328 20398496 26135573 26978656 40796992 52271146 53957312 81593984 104542292 107914624 209084584 418169168 836338336 1672676672 3345353344