Search a number
-
+
4212312 = 2331323587
BaseRepresentation
bin10000000100011001011000
321221000012120
4100010121120
52034243222
6230141240
750542536
oct20043130
97830176
104212312
112417855
1214b1820
13b463c0
147b9156
1558315c
hex404658

4212312 has 64 divisors (see below), whose sum is σ = 11854080. Its totient is φ = 1237632.

The previous prime is 4212287. The next prime is 4212317. The reversal of 4212312 is 2132124.

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

It is a junction number, because it is equal to n+sod(n) for n = 4212291 and 4212300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212317) 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 15 ways as a sum of consecutive naturals, for example, 6883 + ... + 7469.

It is an arithmetic number, because the mean of its divisors is an integer number (185220).

Almost surely, 24212312 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 4212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927040).

4212312 is an abundant number, since it is smaller than the sum of its proper divisors (7641768).

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

4212312 is a wasteful number, since it uses less digits than its factorization.

4212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 628 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 4212312 is about 2052.3917754659. The cubic root of 4212312 is about 161.5003658291.

Adding to 4212312 its reverse (2132124), we get a palindrome (6344436).

The spelling of 4212312 in words is "four million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 587 598 897 1174 1196 1761 1794 2348 2392 3522 3588 4696 7044 7176 7631 13501 14088 15262 22893 27002 30524 40503 45786 54004 61048 81006 91572 108008 162012 175513 183144 324024 351026 526539 702052 1053078 1404104 2106156 4212312