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12264340 = 22511107521
BaseRepresentation
bin101110110010…
…001110010100
3212002002111211
4232302032110
511114424330
61114511204
7206150044
oct56621624
925062454
1012264340
116a17420
124135504
13270540a
1418b3724
151123d2a
hexbb2394

12264340 has 48 divisors (see below), whose sum is σ = 28413504. Its totient is φ = 4409600.

The previous prime is 12264337. The next prime is 12264341. The reversal of 12264340 is 4346221.

It is a happy number.

12264340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12264341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23280 + ... + 23800.

It is an arithmetic number, because the mean of its divisors is an integer number (591948).

Almost surely, 212264340 is an apocalyptic number.

12264340 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 12264340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14206752).

12264340 is an abundant number, since it is smaller than the sum of its proper divisors (16149164).

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

12264340 is a wasteful number, since it uses less digits than its factorization.

12264340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 12264340 is about 3502.0479722585. The cubic root of 12264340 is about 230.6117300796.

The spelling of 12264340 in words is "twelve million, two hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 521 535 1042 1070 1177 2084 2140 2354 2605 4708 5210 5731 5885 10420 11462 11770 22924 23540 28655 55747 57310 111494 114620 222988 278735 557470 613217 1114940 1226434 2452868 3066085 6132170 12264340