Is 3,430,240 a Prime Number?
No, 3,430,240 is not a prime number
Number Properties
- Value:3,430,240
- Number Type:Even, Positive
- Digit Sum:16
- Total Digits:7
- Binary:1101000101011101100000
- Hexadecimal:345760
Prime Status
3,430,240 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 5 × 11 × 1949
Divisors
Total divisors: 48
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88, 110, 160, 176, 220, 352, 440, 880, 1760, 1949, 3898, 7796, 9745, 15592, 19490, 21439, 31184, 38980, 42878, 62368, 77960, 85756, 107195, 155920, 171512, 214390, 311840, 343024, 428780, 686048, 857560, 1715120, 3430240
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.