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4224312 = 23354153
BaseRepresentation
bin10000000111010100111000
321221121200000
4100013110320
52040134222
6230313000
750622531
oct20072470
97847600
104224312
112425874
1214b8760
13b4b9c1
147bd688
155869ac
hex407538

4224312 has 96 divisors (see below), whose sum is σ = 12383280. Its totient is φ = 1347840.

The previous prime is 4224281. The next prime is 4224317. The reversal of 4224312 is 2134224.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79678 + ... + 79730.

Almost surely, 24224312 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 4224312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191640).

4224312 is an abundant number, since it is smaller than the sum of its proper divisors (8158968).

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

4224312 is a wasteful number, since it uses less digits than its factorization.

4224312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 4224312 is about 2055.3131148319. The cubic root of 4224312 is about 161.6535807360.

Adding to 4224312 its reverse (2134224), we get a palindrome (6358536).

The spelling of 4224312 in words is "four million, two hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 53 54 72 81 82 106 108 123 159 162 164 212 216 243 246 318 324 328 369 424 477 486 492 636 648 738 954 972 984 1107 1272 1431 1476 1908 1944 2173 2214 2862 2952 3321 3816 4293 4346 4428 5724 6519 6642 8586 8692 8856 9963 11448 12879 13038 13284 17172 17384 19557 19926 25758 26076 26568 34344 39114 39852 51516 52152 58671 78228 79704 103032 117342 156456 176013 234684 352026 469368 528039 704052 1056078 1408104 2112156 4224312