Is 3,490,020 a Prime Number?
No, 3,490,020 is not a prime number
Number Properties
- Value:3,490,020
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1101010100000011100100
- Hexadecimal:3540E4
Prime Status
3,490,020 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 5 × 23 × 281
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 27, 30, 36, 45, 46, 54, 60, 69, 90, 92, 108, 115, 135, 138, 180, 207, 230, 270, 276, 281, 345, 414, 460, 540, 562, 621, 690, 828, 843, 1035, 1124, 1242, 1380, 1405, 1686, 2070, 2484, 2529, 2810, 3105, 3372, 4140, 4215, 5058, 5620, 6210, 6463, 7587, 8430, 10116, 12420, 12645, 12926, 15174, 16860, 19389, 25290, 25852, 30348, 32315, 37935, 38778, 50580, 58167, 64630, 75870, 77556, 96945, 116334, 129260, 151740, 174501, 193890, 232668, 290835, 349002, 387780, 581670, 698004, 872505, 1163340, 1745010, 3490020
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.