Search a number
-
+
3484843684329 = 371961439326149
BaseRepresentation
bin110010101101100000110…
…111101011000111101001
3110100010222202012101012210
4302231200313223013221
5424043424440344304
611224525354155333
7506525450401260
oct62554067530751
913303882171183
103484843684329
111123a06456957
12483477122b49
131c3808931147
14c094b2455d7
15609ae986c89
hex32b60deb1e9

3484843684329 has 64 divisors (see below), whose sum is σ = 5694318080000. Its totient is φ = 1851372599040.

The previous prime is 3484843684321. The next prime is 3484843684363. The reversal of 3484843684329 is 9234863484843.

It is a happy number.

It is not a de Polignac number, because 3484843684329 - 23 = 3484843684321 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3484843684329.

It is not an unprimeable number, because it can be changed into a prime (3484843684321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10521747 + ... + 10847895.

It is an arithmetic number, because the mean of its divisors is an integer number (88973720000).

Almost surely, 23484843684329 is an apocalyptic number.

It is an amenable number.

3484843684329 is a deficient number, since it is larger than the sum of its proper divisors (2209474395671).

3484843684329 is a wasteful number, since it uses less digits than its factorization.

3484843684329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326678.

The product of its digits is 382205952, while the sum is 66.

The spelling of 3484843684329 in words is "three trillion, four hundred eighty-four billion, eight hundred forty-three million, six hundred eighty-four thousand, three hundred twenty-nine".

Divisors: 1 3 7 19 21 57 61 133 183 399 427 439 1159 1281 1317 3073 3477 8113 8341 9219 24339 25023 26779 58387 80337 175161 187453 326149 508801 562359 978447 1526403 2283043 3561607 6196831 6849129 10684821 18590493 19895089 43377817 59685267 130133451 139265623 143179411 378006691 417796869 429538233 1002255877 1134020073 2646046837 2720408809 3006767631 7938140511 8161226427 8733944071 19042861663 26201832213 57128584989 61137608497 165944937349 183412825491 497834812047 1161614561443 3484843684329