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12326440 = 2357219331
BaseRepresentation
bin101111000001…
…011000101000
3212012020200211
4233001120220
511123421230
61120110504
7206526100
oct57013050
925166624
1012326440
116a5a045
124165434
132727769
1418cc200
15113742a
hexbc1628

12326440 has 96 divisors (see below), whose sum is σ = 34063200. Its totient is φ = 3991680.

The previous prime is 12326417. The next prime is 12326441. The reversal of 12326440 is 4462321.

It is a happy number.

It is a super-2 number, since 2×123264402 = 303882246147200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12326441) 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, 37075 + ... + 37405.

It is an arithmetic number, because the mean of its divisors is an integer number (354825).

Almost surely, 212326440 is an apocalyptic number.

12326440 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 12326440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17031600).

12326440 is an abundant number, since it is smaller than the sum of its proper divisors (21736760).

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

12326440 is a wasteful number, since it uses less digits than its factorization.

12326440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 364 counting only the distinct ones).

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

The square root of 12326440 is about 3510.9030177434. The cubic root of 12326440 is about 231.0003060908. Note that the first 3 decimals are identical.

Adding to 12326440 its reverse (4462321), we get a palindrome (16788761).

The spelling of 12326440 in words is "twelve million, three hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 331 380 392 490 532 662 665 760 931 980 1064 1324 1330 1655 1862 1960 2317 2648 2660 3310 3724 4634 4655 5320 6289 6620 7448 9268 9310 11585 12578 13240 16219 18536 18620 23170 25156 31445 32438 37240 44023 46340 50312 62890 64876 81095 88046 92680 125780 129752 162190 176092 220115 251560 308161 324380 352184 440230 616322 648760 880460 1232644 1540805 1760920 2465288 3081610 6163220 12326440