Search a number
-
+
341216435952 = 2435717977603
BaseRepresentation
bin1001111011100100001…
…01011001111011110000
31012121201221220220200000
410331302011121323300
521042302401422302
6420430324230000
733436442564550
oct4756205317360
91177657826600
10341216435952
11121788867707
125616883b300
132623ac0b752
141272d0bb160
158d20d7b31c
hex4f72159ef0

341216435952 has 480 divisors, whose sum is σ = 1210859500032. Its totient is φ = 90797801472.

The previous prime is 341216435947. The next prime is 341216435983. The reversal of 341216435952 is 259534612143.

341216435952 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 16 + 43 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 341216435898 and 341216435907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44875383 + ... + 44882985.

Almost surely, 2341216435952 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 341216435952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605429750016).

341216435952 is an abundant number, since it is smaller than the sum of its proper divisors (869643064080).

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

341216435952 is a wasteful number, since it uses less digits than its factorization.

341216435952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7747 (or 7729 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 341216435952 in words is "three hundred forty-one billion, two hundred sixteen million, four hundred thirty-five thousand, nine hundred fifty-two".