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3345919848 = 2332234742989
BaseRepresentation
bin1100011101101110…
…1010111101101000
322122011221100011100
43013123222331220
523323023413343
61312002401400
7145625564235
oct30733527550
98564840140
103345919848
111467759117
12794660260
1341426c53b
1423a53078c
15148b239d3
hexc76eaf68

3345919848 has 96 divisors (see below), whose sum is σ = 9657273600. Its totient is φ = 1044092544.

The previous prime is 3345919847. The next prime is 3345919861. The reversal of 3345919848 is 8489195433.

3345919848 is a `hidden beast` number, since 3 + 3 + 4 + 591 + 9 + 8 + 48 = 666.

It is a super-2 number, since 2×33459198482 = 22390359258480686208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3345919794 and 3345919803.

It is not an unprimeable number, because it can be changed into a prime (3345919847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56338 + ... + 99326.

It is an arithmetic number, because the mean of its divisors is an integer number (100596600).

Almost surely, 23345919848 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 3345919848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828636800).

3345919848 is an abundant number, since it is smaller than the sum of its proper divisors (6311353752).

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

3345919848 is a wasteful number, since it uses less digits than its factorization.

3345919848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43071 (or 43064 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 3345919848 is about 57843.9266302003. The cubic root of 3345919848 is about 1495.6793962042.

The spelling of 3345919848 in words is "three billion, three hundred forty-five million, nine hundred nineteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 47 69 72 92 94 138 141 184 188 207 276 282 376 414 423 552 564 828 846 1081 1128 1656 1692 2162 3243 3384 4324 6486 8648 9729 12972 19458 25944 38916 42989 77832 85978 128967 171956 257934 343912 386901 515868 773802 988747 1031736 1547604 1977494 2020483 2966241 3095208 3954988 4040966 5932482 6061449 7909976 8081932 8898723 11864964 12122898 16163864 17797446 18184347 23729928 24245796 35594892 36368694 46471109 48491592 71189784 72737388 92942218 139413327 145474776 185884436 278826654 371768872 418239981 557653308 836479962 1115306616 1672959924 3345919848