Search a number
-
+
21334104 = 2334114173
BaseRepresentation
bin101000101100…
…0100001011000
31111010212220000
41101120201120
520430142404
62041133000
7346223361
oct121304130
944125800
1021334104
11110516a0
12718a160
13455c73c
142b94b68
151d16339
hex1458858

21334104 has 160 divisors (see below), whose sum is σ = 67692240. Its totient is φ = 6220800.

The previous prime is 21334067. The next prime is 21334123. The reversal of 21334104 is 40143312.

Added to its reverse (40143312) it gives a triangular number (61477416 = T11088).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 292212 + ... + 292284.

Almost surely, 221334104 is an apocalyptic number.

21334104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21334104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33846120).

21334104 is an abundant number, since it is smaller than the sum of its proper divisors (46358136).

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

21334104 is a wasteful number, since it uses less digits than its factorization.

21334104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 130 counting only the distinct ones).

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

The square root of 21334104 is about 4618.8855798775. The cubic root of 21334104 is about 277.3478493902.

Adding to 21334104 its reverse (40143312), we get a palindrome (61477416).

The spelling of 21334104 in words is "twenty-one million, three hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 41 44 54 66 72 73 81 82 88 99 108 123 132 146 162 164 198 216 219 246 264 292 297 324 328 369 396 438 451 492 584 594 648 657 738 792 803 876 891 902 984 1107 1188 1314 1353 1476 1606 1752 1782 1804 1971 2214 2376 2409 2628 2706 2952 2993 3212 3321 3564 3608 3942 4059 4428 4818 5256 5412 5913 5986 6424 6642 7128 7227 7884 8118 8856 8979 9636 10824 11826 11972 12177 13284 14454 15768 16236 17958 19272 21681 23652 23944 24354 26568 26937 28908 32472 32923 35916 36531 43362 47304 48708 53874 57816 65043 65846 71832 73062 80811 86724 97416 98769 107748 130086 131692 146124 161622 173448 197538 215496 242433 260172 263384 292248 296307 323244 395076 484866 520344 592614 646488 790152 888921 969732 1185228 1777842 1939464 2370456 2666763 3555684 5333526 7111368 10667052 21334104