Is 3,494,340 a Prime Number?
No, 3,494,340 is not a prime number
Number Properties
- Value:3,494,340
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101010101000111000100
- Hexadecimal:3551C4
Prime Status
3,494,340 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 35 × 5 × 719
Divisors
Total divisors: 72
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 719, 810, 972, 1215, 1438, 1620, 2157, 2430, 2876, 3595, 4314, 4860, 6471, 7190, 8628, 10785, 12942, 14380, 19413, 21570, 25884, 32355, 38826, 43140, 58239, 64710, 77652, 97065, 116478, 129420, 174717, 194130, 232956, 291195, 349434, 388260, 582390, 698868, 873585, 1164780, 1747170, 3494340
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.