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312424 = 2372797
BaseRepresentation
bin1001100010001101000
3120212120021
41030101220
534444144
610410224
72440600
oct1142150
9525507
10312424
111a3802
12130974
13ac288
1481c00
1562884
hex4c468

312424 has 24 divisors (see below), whose sum is σ = 682290. Its totient is φ = 133728.

The previous prime is 312413. The next prime is 312427. The reversal of 312424 is 424213.

Adding to 312424 its reverse (424213), we get a palindrome (736637).

It can be written as a sum of positive squares in only one way, i.e., 268324 + 44100 = 518^2 + 210^2 .

It is a junction number, because it is equal to n+sod(n) for n = 312398 and 312407.

It is not an unprimeable number, because it can be changed into a prime (312427) 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 5 ways as a sum of consecutive naturals, for example, 7 + ... + 790.

2312424 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 312424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341145).

312424 is an abundant number, since it is smaller than the sum of its proper divisors (369866).

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

312424 is a wasteful number, since it uses less digits than its factorization.

312424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 806 counting only the distinct ones).

The product of its digits is 192, while the sum is 16.

The square root of 312424 is about 558.9490137750. The cubic root of 312424 is about 67.8549387491.

The spelling of 312424 in words is "three hundred twelve thousand, four hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 797 1594 3188 5579 6376 11158 22316 39053 44632 78106 156212 312424