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343144343240 = 23529566952181
BaseRepresentation
bin1001111111001001111…
…11110010011011001000
31012210201022121202021122
410333210333302123020
521110224422440430
6421345514054412
733535302535526
oct4774477623310
91183638552248
10343144343240
11122588043a16
125660641a408
13264874638aa
141287316b316
158dd524cee5
hex4fe4ff26c8

343144343240 has 64 divisors (see below), whose sum is σ = 798854238000. Its totient is φ = 132498795520.

The previous prime is 343144343237. The next prime is 343144343293. The reversal of 343144343240 is 42343441343.

It can be written as a sum of positive squares in 8 ways, for example, as 41714794564 + 301429548676 = 204242^2 + 549026^2 .

It is a super-2 number, since 2×3431443432402 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 343144343240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6549950 + ... + 6602130.

Almost surely, 2343144343240 is an apocalyptic number.

It is an amenable number.

343144343240 is an abundant number, since it is smaller than the sum of its proper divisors (455709894760).

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

343144343240 is a wasteful number, since it uses less digits than its factorization.

343144343240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57890 (or 57886 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 343144343240 its reverse (42343441343), we get a palindrome (385487784583).

The spelling of 343144343240 in words is "three hundred forty-three billion, one hundred forty-four million, three hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 5669 11338 22676 28345 45352 52181 56690 104362 113380 164401 208724 226760 260905 328802 417448 521810 657604 822005 1043620 1315208 1513249 1644010 2087240 3026498 3288020 6052996 6576040 7566245 12105992 15132490 30264980 60529960 295814089 591628178 1183256356 1479070445 2366512712 2958140890 5916281780 8578608581 11832563560 17157217162 34314434324 42893042905 68628868648 85786085810 171572171620 343144343240