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993303 = 3412263
BaseRepresentation
bin11110010100000010111
31212110120000
43302200113
5223241203
633142343
711304633
oct3624027
91773500
10993303
11619313
123ba9b3
1328a16c
141bbdc3
151494a3
hexf2817

993303 has 10 divisors (see below), whose sum is σ = 1483944. Its totient is φ = 662148.

The previous prime is 993287. The next prime is 993319. The reversal of 993303 is 303399.

993303 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (993287) and next prime (993319).

It is not a de Polignac number, because 993303 - 24 = 993287 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

993303 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993323) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6051 + ... + 6212.

2993303 is an apocalyptic number.

993303 is a deficient number, since it is larger than the sum of its proper divisors (490641).

993303 is a wasteful number, since it uses less digits than its factorization.

993303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12275 (or 12266 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

The square root of 993303 is about 996.6458749225. The cubic root of 993303 is about 99.7762664731.

It can be divided in two parts, 993 and 303, that added together give a 4-th power (1296 = 64).

The spelling of 993303 in words is "nine hundred ninety-three thousand, three hundred three".

Divisors: 1 3 9 27 81 12263 36789 110367 331101 993303