Search a number
-
+
6993344 = 26113967
BaseRepresentation
bin11010101011010111000000
3111011022001202
4122223113000
53242241334
6405520332
7113304521
oct32532700
914138052
106993344
113a47226
1224130a8
1315ab197
14d00848
1593217e
hex6ab5c0

6993344 has 28 divisors (see below), whose sum is σ = 14014704. Its totient is φ = 3462144.

The previous prime is 6993323. The next prime is 6993367. The reversal of 6993344 is 4433996.

It is a junction number, because it is equal to n+sod(n) for n = 6993298 and 6993307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6749 + ... + 7715.

Almost surely, 26993344 is an apocalyptic number.

6993344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7007352).

6993344 is an abundant number, since it is smaller than the sum of its proper divisors (7021360).

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

6993344 is a wasteful number, since it uses less digits than its factorization.

6993344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1082 counting only the distinct ones).

The product of its digits is 69984, while the sum is 38.

The square root of 6993344 is about 2644.4931461435. The cubic root of 6993344 is about 191.2324682407.

It can be divided in two parts, 6993 and 344, that added together give a palindrome (7337).

The spelling of 6993344 in words is "six million, nine hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 967 1808 1934 3616 3868 7232 7736 15472 30944 61888 109271 218542 437084 874168 1748336 3496672 6993344