370000

370000 is a natural number that sits between 369999 and 370001. In decimal notation, it has four trailing zeros, making it a multiple of 10,000. It can be expressed as 37 × 10,000 and in scientific notation as 3.7 × 10^5.

Mathematical properties of 370000 include its prime factorization, which is 2^4 × 5^4 × 37. This shows the number is even and divisible by 16, 625, and by 10000 (since 10,000 is 2^4 × 5^4). Because the prime factors are 2, 5, and 37, which are pairwise coprime, the total number of positive divisors is (4+1) × (4+1) × (1+1) = 50. The Euler totient function value is φ(370000) = 8 × 500 × 36 = 144,000, reflecting the count of integers up to 370,000 that are coprime to it.

In usage, 370000 often appears as a large rounded figure in arithmetic problems and estimates. It serves as an example of a number with multiple trailing zeros and a nontrivial prime factorization. As with many integers, its significance is primarily mathematical and contextual rather than intrinsic. In other representations, such as other bases, the digits would differ, but in decimal it is written exactly as 370000.

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