Search a number
-
+
4349235172324 = 227218128232
BaseRepresentation
bin111111010010100010100…
…111100001001111100100
3120101210010200021121222011
4333102202213201033210
51032224213201003244
613130002215444004
7626136046665100
oct77224247411744
916353120247864
104349235172324
111427555963629
125a2ab2086604
132571920aa4b3
1411070b3a0900
1578200cd3434
hex3f4a29e13e4

4349235172324 has 81 divisors (see below), whose sum is σ = 8913817317321. Its totient is φ = 1851407500320.

The previous prime is 4349235172307. The next prime is 4349235172379. The reversal of 4349235172324 is 4232715329434.

The square root of 4349235172324 is 2085482.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 47925090724 + 4301310081600 = 218918^2 + 2073960^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5284610977 + ... + 5284611799.

Almost surely, 24349235172324 is an apocalyptic number.

4349235172324 is the 2085482-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4349235172324

4349235172324 is an abundant number, since it is smaller than the sum of its proper divisors (4564582144997).

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

4349235172324 is an frugal number, since it uses more digits than its factorization.

4349235172324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 1013 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 49.

Multiplying 4349235172324 by its sum of digits (49), we get a square (213112523443876 = 145983742).

4349235172324 divided by its sum of digits (49) gives a square (88759901476 = 2979262).

The spelling of 4349235172324 in words is "four trillion, three hundred forty-nine billion, two hundred thirty-five million, one hundred seventy-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 181 196 362 724 823 1267 1646 2534 3292 5068 5761 8869 11522 17738 23044 32761 35476 40327 65522 80654 131044 148963 161308 229327 297926 458654 595852 677329 917308 1042741 1354658 1605289 2085482 2709316 3210578 4170964 4741303 6421156 7299187 9482606 14598374 18965212 26962303 29196748 33189121 53924606 66378242 107849212 122596549 132756484 188736121 245193098 377472242 490386196 754944484 858175843 1321152847 1716351686 2642305694 3432703372 5284611388 6007230901 12014461802 22189975369 24028923604 44379950738 88759901476 155329827583 310659655166 621319310332 1087308793081 2174617586162 4349235172324