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12034224 = 243389313
BaseRepresentation
bin101101111010…
…000010110000
3211122101212000
4231322002300
511040043344
61105534000
7204201126
oct55720260
924571760
1012034224
11687a544
124044300
132654757
141853916
1510caa69
hexb7a0b0

12034224 has 80 divisors (see below), whose sum is σ = 35042400. Its totient is φ = 3953664.

The previous prime is 12034219. The next prime is 12034229. The reversal of 12034224 is 42243021.

It is an interprime number because it is at equal distance from previous prime (12034219) and next prime (12034229).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12034197 and 12034206.

It is not an unprimeable number, because it can be changed into a prime (12034229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38292 + ... + 38604.

It is an arithmetic number, because the mean of its divisors is an integer number (438030).

Almost surely, 212034224 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 12034224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17521200).

12034224 is an abundant number, since it is smaller than the sum of its proper divisors (23008176).

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

12034224 is a wasteful number, since it uses less digits than its factorization.

12034224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 407 counting only the distinct ones).

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

The square root of 12034224 is about 3469.0379069707. The cubic root of 12034224 is about 229.1602902615.

Adding to 12034224 its reverse (42243021), we get a palindrome (54277245).

The spelling of 12034224 in words is "twelve million, thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 89 108 144 178 216 267 313 356 432 534 626 712 801 939 1068 1252 1424 1602 1878 2136 2403 2504 2817 3204 3756 4272 4806 5008 5634 6408 7512 8451 9612 11268 12816 15024 16902 19224 22536 27857 33804 38448 45072 55714 67608 83571 111428 135216 167142 222856 250713 334284 445712 501426 668568 752139 1002852 1337136 1504278 2005704 3008556 4011408 6017112 12034224