352288

352,288 is a natural number that follows 352,287 and precedes 352,289. In mathematics, it is an even composite number with prime factorization 2^5 × 101 × 109.

From its factorization, the number of positive divisors is (5+1) × (1+1) × (1+1) = 24. It is divisible by 32, 101, and 109. In hexadecimal, 352,288 is 0x56020, and in binary it is 1010110000000100000.

Sum of divisors can be computed multiplicatively: sigma(352,288) = (2^6 − 1) × (101 + 1) × (109 + 1) = 63 × 102 × 110 = 706,860. The sum of proper divisors is 706,860 − 352,288 = 354,572, which makes 352,288 an abundant number (abundant by 2,284).

In binary form, 352,288 equals 1010110000000100000_2; in binary words it can be described as 11,009 shifted left by 5 bits. The factorization 2^5 × 101 × 109 also shows 352,288 = 32 × 101 × 109.

Context: There is no widely known special significance attached to 352,288 beyond its arithmetic properties. It is a composite, abundant number and illustrates common features of numbers with small power-of-two factors multiplied by odd primes.