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12343120 = 245277557
BaseRepresentation
bin101111000101…
…011101010000
3212020002120121
4233011131100
511124434440
61120320024
7206625526
oct57053520
925202517
1012343120
116a70629
124173014
13273222a
1418d4316
15113c34a
hexbc5750

12343120 has 40 divisors (see below), whose sum is σ = 28853064. Its totient is φ = 4910592.

The previous prime is 12343099. The next prime is 12343129. The reversal of 12343120 is 2134321.

12343120 = 3102 + 3112 + ... + 4052.

It is a happy number.

12343120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 121104 + 12222016 = 348^2 + 3496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×123431202 = 304705222668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12343094 and 12343103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12343129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21882 + ... + 22438.

Almost surely, 212343120 is an apocalyptic number.

12343120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12343120 is an abundant number, since it is smaller than the sum of its proper divisors (16509944).

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

12343120 is a wasteful number, since it uses less digits than its factorization.

12343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 12343120 is about 3513.2776719183. The cubic root of 12343120 is about 231.1044547995.

Adding to 12343120 its reverse (2134321), we get a palindrome (14477441).

The spelling of 12343120 in words is "twelve million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 277 554 557 1108 1114 1385 2216 2228 2770 2785 4432 4456 5540 5570 8912 11080 11140 22160 22280 44560 154289 308578 617156 771445 1234312 1542890 2468624 3085780 6171560 12343120