Search a number
-
+
415341696 = 27371121277
BaseRepresentation
bin11000110000011…
…001110010000000
31001221112112200210
4120300121302000
51322311413241
6105114114120
713202226510
oct3060316200
91057475623
10415341696
111a34a4400
12b711b940
1368083623
143d239840
15266e4316
hex18c19c80

415341696 has 192 divisors, whose sum is σ = 1386987840. Its totient is φ = 107796480.

The previous prime is 415341677. The next prime is 415341697. The reversal of 415341696 is 696143514.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415341697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324610 + ... + 325886.

It is an arithmetic number, because the mean of its divisors is an integer number (7223895).

Almost surely, 2415341696 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 415341696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693493920).

415341696 is an abundant number, since it is smaller than the sum of its proper divisors (971646144).

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

415341696 is a wasteful number, since it uses less digits than its factorization.

415341696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1300 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 415341696 is about 20379.9336603435. The cubic root of 415341696 is about 746.1082531153.

The spelling of 415341696 in words is "four hundred fifteen million, three hundred forty-one thousand, six hundred ninety-six".