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11234304 = 210322353
BaseRepresentation
bin101010110110…
…110000000000
3210010202120100
4222312300000
510333444204
61040442400
7164330034
oct52666000
923122510
1011234304
116383554
123919400
132434623
1416c61c4
15ebda39
hexab6c00

11234304 has 132 divisors (see below), whose sum is σ = 34487856. Its totient is φ = 3514368.

The previous prime is 11234291. The next prime is 11234317. The reversal of 11234304 is 40343211.

It is an interprime number because it is at equal distance from previous prime (11234291) and next prime (11234317).

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211942 + ... + 211994.

Almost surely, 211234304 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 11234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17243928).

11234304 is an abundant number, since it is smaller than the sum of its proper divisors (23253552).

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

11234304 is a wasteful number, since it uses less digits than its factorization.

11234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 11234304 is about 3351.7613280184. The cubic root of 11234304 is about 223.9659812284.

Adding to 11234304 its reverse (40343211), we get a palindrome (51577515).

The spelling of 11234304 in words is "eleven million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 53 64 69 72 92 96 106 128 138 144 159 184 192 207 212 256 276 288 318 368 384 414 424 477 512 552 576 636 736 768 828 848 954 1024 1104 1152 1219 1272 1472 1536 1656 1696 1908 2208 2304 2438 2544 2944 3072 3312 3392 3657 3816 4416 4608 4876 5088 5888 6624 6784 7314 7632 8832 9216 9752 10176 10971 11776 13248 13568 14628 15264 17664 19504 20352 21942 23552 26496 27136 29256 30528 35328 39008 40704 43884 52992 54272 58512 61056 70656 78016 81408 87768 105984 117024 122112 156032 162816 175536 211968 234048 244224 312064 351072 468096 488448 624128 702144 936192 1248256 1404288 1872384 2808576 3744768 5617152 11234304