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3431424 = 21031117
BaseRepresentation
bin1101000101110000000000
320110100000210
431011300000
51334301144
6201314120
741111103
oct15056000
96410023
103431424
111a34097
121195940
13931b39
1465473a
1547bab9
hex345c00

3431424 has 44 divisors (see below), whose sum is σ = 9154184. Its totient is φ = 1142784.

The previous prime is 3431411. The next prime is 3431431. The reversal of 3431424 is 4241343.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3431424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2514 + ... + 3630.

Almost surely, 23431424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4577092).

3431424 is an abundant number, since it is smaller than the sum of its proper divisors (5722760).

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

3431424 is a wasteful number, since it uses less digits than its factorization.

3431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1122 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 3431424 is about 1852.4103217160. The cubic root of 3431424 is about 150.8312955848.

Adding to 3431424 its reverse (4241343), we get a palindrome (7672767).

The spelling of 3431424 in words is "three million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1117 1536 2234 3072 3351 4468 6702 8936 13404 17872 26808 35744 53616 71488 107232 142976 214464 285952 428928 571904 857856 1143808 1715712 3431424