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12334320 = 2432537463
BaseRepresentation
bin101111000011…
…010011110000
3212012122111200
4233003103300
511124144240
61120211200
7206561055
oct57032360
925178450
1012334320
116a64a59
124169b00
13272b21b
1418d102c
151139930
hexbc34f0

12334320 has 120 divisors (see below), whose sum is σ = 42634176. Its totient is φ = 3193344.

The previous prime is 12334313. The next prime is 12334327. The reversal of 12334320 is 2343321.

12334320 is a `hidden beast` number, since 1 + 233 + 432 + 0 = 666.

12334320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12334313) and next prime (12334327).

It is a tau number, because it is divible by the number of its divisors (120).

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 = 12334293 and 12334302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12334327) 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, 26409 + ... + 26871.

Almost surely, 212334320 is an apocalyptic number.

12334320 is a gapful number since it is divisible by the number (10) 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 12334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21317088).

12334320 is an abundant number, since it is smaller than the sum of its proper divisors (30299856).

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

12334320 is a wasteful number, since it uses less digits than its factorization.

12334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 12334320 is about 3512.0250568582. The cubic root of 12334320 is about 231.0495199396.

Adding to 12334320 its reverse (2343321), we get a palindrome (14677641).

Subtracting from 12334320 its reverse (2343321), we obtain a palindrome (9990999).

It can be divided in two parts, 123 and 34320, that added together give a palindrome (34443).

The spelling of 12334320 in words is "twelve million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 463 555 592 666 720 740 888 926 1110 1332 1389 1480 1665 1776 1852 2220 2315 2664 2778 2960 3330 3704 4167 4440 4630 5328 5556 6660 6945 7408 8334 8880 9260 11112 13320 13890 16668 17131 18520 20835 22224 26640 27780 33336 34262 37040 41670 51393 55560 66672 68524 83340 85655 102786 111120 137048 154179 166680 171310 205572 256965 274096 308358 333360 342620 411144 513930 616716 685240 770895 822288 1027860 1233432 1370480 1541790 2055720 2466864 3083580 4111440 6167160 12334320