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21314340 = 2234559223
BaseRepresentation
bin101000101001…
…1101100100100
31111002212210000
41101103230210
520424024330
62040501300
7346111635
oct121235444
944085700
1021314340
1111038863
12717a830
134553748
142b8b88c
151d10560
hex1453b24

21314340 has 120 divisors (see below), whose sum is σ = 68302080. Its totient is φ = 5562432.

The previous prime is 21314327. The next prime is 21314357. The reversal of 21314340 is 4341312.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 95469 + ... + 95691.

It is an arithmetic number, because the mean of its divisors is an integer number (569184).

Almost surely, 221314340 is an apocalyptic number.

21314340 is a gapful number since it is divisible by the number (20) 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 21314340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34151040).

21314340 is an abundant number, since it is smaller than the sum of its proper divisors (46987740).

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

21314340 is a wasteful number, since it uses less digits than its factorization.

21314340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

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

The square root of 21314340 is about 4616.7456070267. The cubic root of 21314340 is about 277.2621775403.

Adding to 21314340 its reverse (4341312), we get a palindrome (25655652).

The spelling of 21314340 in words is "twenty-one million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 81 90 108 118 135 162 177 180 223 236 270 295 324 354 405 446 531 540 590 669 708 810 885 892 1062 1115 1180 1338 1593 1620 1770 2007 2124 2230 2655 2676 3186 3345 3540 4014 4460 4779 5310 6021 6372 6690 7965 8028 9558 10035 10620 12042 13157 13380 15930 18063 19116 20070 23895 24084 26314 30105 31860 36126 39471 40140 47790 52628 60210 65785 72252 78942 90315 95580 118413 120420 131570 157884 180630 197355 236826 263140 355239 361260 394710 473652 592065 710478 789420 1065717 1184130 1420956 1776195 2131434 2368260 3552390 4262868 5328585 7104780 10657170 21314340