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3311424 = 26325749
BaseRepresentation
bin1100101000011101000000
320020020102100
430220131000
51321431144
6154550400
740101204
oct14503500
96206370
103311424
111961a16
121138400
138bc32c
14622b04
15456269
hex328740

3311424 has 42 divisors (see below), whose sum is σ = 9493250. Its totient is φ = 1103616.

The previous prime is 3311419. The next prime is 3311431. The reversal of 3311424 is 4241133.

It can be written as a sum of positive squares in only one way, i.e., 1871424 + 1440000 = 1368^2 + 1200^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3311397 and 3311406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2299 + ... + 3450.

Almost surely, 23311424 is an apocalyptic number.

It is an amenable number.

3311424 is an abundant number, since it is smaller than the sum of its proper divisors (6181826).

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

3311424 is a wasteful number, since it uses less digits than its factorization.

3311424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5767 (or 5754 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 3311424 is about 1819.7318483777. The cubic root of 3311424 is about 149.0521565677.

Adding to 3311424 its reverse (4241133), we get a palindrome (7552557).

The spelling of 3311424 in words is "three million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 5749 11498 17247 22996 34494 45992 51741 68988 91984 103482 137976 183968 206964 275952 367936 413928 551904 827856 1103808 1655712 3311424