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344343434148 = 22347166391297
BaseRepresentation
bin1010000001011000111…
…01111101001110100100
31012220210212220212210000
411000230131331032210
521120203404343043
6422104510501300
733610102616430
oct5005435751644
91186725825700
10344343434148
1112304298973a
125689bb04830
13266189ca33c
14129485019c0
158e556592d3
hex502c77d3a4

344343434148 has 120 divisors (see below), whose sum is σ = 1029409052672. Its totient is φ = 98323600896.

The previous prime is 344343434143. The next prime is 344343434177. The reversal of 344343434148 is 841434343443.

344343434148 is a `hidden beast` number, since 3 + 4 + 43 + 434 + 34 + 148 = 666.

It is not an unprimeable number, because it can be changed into a prime (344343434143) 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 39 ways as a sum of consecutive naturals, for example, 3726036 + ... + 3817332.

Almost surely, 2344343434148 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 344343434148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514704526336).

344343434148 is an abundant number, since it is smaller than the sum of its proper divisors (685065618524).

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

344343434148 is a wasteful number, since it uses less digits than its factorization.

344343434148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92983 (or 92972 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 45.

The spelling of 344343434148 in words is "three hundred forty-four billion, three hundred forty-three million, four hundred thirty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 1663 2268 3326 4989 6652 9978 11641 14967 19956 23282 29934 34923 44901 46564 59868 69846 89802 91297 104769 134703 139692 179604 182594 209538 269406 273891 314307 365188 419076 538812 547782 628614 639079 821673 942921 1095564 1257228 1278158 1643346 1885842 1917237 2465019 2556316 3286692 3771684 3834474 4930038 5751711 7395057 7668948 9860076 11503422 14790114 17255133 23006844 29580228 34510266 51765399 69020532 103530798 151826911 207061596 303653822 455480733 607307644 910961466 1062788377 1366442199 1821922932 2125576754 2732884398 3188365131 4099326597 4251153508 5465768796 6376730262 8198653194 9565095393 12297979791 12753460524 16397306388 19130190786 24595959582 28695286179 38260381572 49191919164 57390572358 86085858537 114781144716 172171717074 344343434148