Search a number
-
+
340336098648 = 2332713151419821
BaseRepresentation
bin1001111001111011001…
…11001011110101011000
31012112110121102010220200
410330331213023311120
521034002020124043
6420203115422200
733405563051520
oct4747547136530
91175417363820
10340336098648
11121376945217
1255b61a54960
132612a70aac0
14126881dc680
158cbd9357d3
hex4f3d9cbd58

340336098648 has 384 divisors, whose sum is σ = 1146086323200. Its totient is φ = 88843392000.

The previous prime is 340336098623. The next prime is 340336098649. The reversal of 340336098648 is 846890633043.

It is a junction number, because it is equal to n+sod(n) for n = 340336098594 and 340336098603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340336098649) 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 95 ways as a sum of consecutive naturals, for example, 414538078 + ... + 414538898.

It is an arithmetic number, because the mean of its divisors is an integer number (2984599800).

Almost surely, 2340336098648 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 340336098648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573043161600).

340336098648 is an abundant number, since it is smaller than the sum of its proper divisors (805750224552).

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

340336098648 is a wasteful number, since it uses less digits than its factorization.

340336098648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 340336098648 in words is "three hundred forty billion, three hundred thirty-six million, ninety-eight thousand, six hundred forty-eight".