[go: up one dir, main page]

Search a number
-
+
3031424 = 27112153
BaseRepresentation
bin1011100100000110000000
312201000022222
423210012000
51234001144
6144550212
734523654
oct13440600
95630288
103031424
111790610
121022368
13821a56
1458ca64
153ed2ee
hex2e4180

3031424 has 32 divisors (see below), whose sum is σ = 6591240. Its totient is φ = 1377280.

The previous prime is 3031421. The next prime is 3031463. The reversal of 3031424 is 4241303.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3031421) by changing a digit.

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, 332 + ... + 2484.

Almost surely, 23031424 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 3031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295620).

3031424 is an abundant number, since it is smaller than the sum of its proper divisors (3559816).

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

3031424 is a wasteful number, since it uses less digits than its factorization.

3031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3031424 is about 1741.0985038188. The cubic root of 3031424 is about 144.7267784008.

Adding to 3031424 its reverse (4241303), we get a palindrome (7272727).

The spelling of 3031424 in words is "three million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 2153 4306 8612 17224 23683 34448 47366 68896 94732 137792 189464 275584 378928 757856 1515712 3031424