Is 3,349,240 a Prime Number?
No, 3,349,240 is not a prime number
Number Properties
- Value:3,349,240
- Number Type:Even, Positive
- Digit Sum:25
- Total Digits:7
- Binary:1100110001101011111000
- Hexadecimal:331AF8
Prime Status
3,349,240 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 5 × 31 × 37 × 73
Divisors
Total divisors: 64
1, 2, 4, 5, 8, 10, 20, 31, 37, 40, 62, 73, 74, 124, 146, 148, 155, 185, 248, 292, 296, 310, 365, 370, 584, 620, 730, 740, 1147, 1240, 1460, 1480, 2263, 2294, 2701, 2920, 4526, 4588, 5402, 5735, 9052, 9176, 10804, 11315, 11470, 13505, 18104, 21608, 22630, 22940, 27010, 45260, 45880, 54020, 83731, 90520, 108040, 167462, 334924, 418655, 669848, 837310, 1674620, 3349240
Explore Nearby Primes
Understanding Prime Numbers
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, it has exactly two distinct positive divisors: 1 and itself.
Properties of Prime Numbers
- Every prime number except 2 is odd
- 2 is the only even prime number
- Prime numbers are infinitely many
- Prime numbers become less frequent as they get larger
- The distribution of primes follows patterns studied in number theory
Importance of Prime Numbers
- Foundation of number theory and pure mathematics
- Essential in cryptography and internet security
- Used in hash functions and random number generation
- Applied in error correction codes and data compression
- Helping solve complex problems in computer science
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, ...
The Fundamental Theorem of Arithmetic states that every integer greater than 1 can be represented uniquely as a product of prime numbers, making primes the "building blocks" of all natural numbers.