383296 has 28 divisors (see below), whose sum is σ = 781812. Its totient is φ = 186368.

The previous prime is 383291. The next prime is 383297. The reversal of 383296 is 692383.

383296 = T₄ + T₅ + ... + T₁₃₁.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 112896 + 270400 = 336^2 + 520^2 .

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383291) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3336 + ... + 3448.

2³⁸³²⁹⁶ is an apocalyptic number.

383296 is the 506-th centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390906).

383296 is an abundant number, since it is smaller than the sum of its proper divisors (398516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

383296 is a wasteful number, since it uses less digits than its factorization.

383296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 383296 is about 619.1090372463. The cubic root of 383296 is about 72.6403780376.

The spelling of 383296 in words is "three hundred eighty-three thousand, two hundred ninety-six".