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12342240 = 253352857
BaseRepresentation
bin101111000101…
…001111100000
3212020001101000
4233011033200
511124422430
61120312000
7206623131
oct57051740
925201330
1012342240
116a6a9a9
124172600
132731a01
1418d3c88
15113be60
hexbc53e0

12342240 has 96 divisors (see below), whose sum is σ = 43212960. Its totient is φ = 3290112.

The previous prime is 12342223. The next prime is 12342257. The reversal of 12342240 is 4224321.

12342240 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 (12342223) and next prime (12342257).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2892 + ... + 5748.

It is an arithmetic number, because the mean of its divisors is an integer number (450135).

Almost surely, 212342240 is an apocalyptic number.

12342240 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 12342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21606480).

12342240 is an abundant number, since it is smaller than the sum of its proper divisors (30870720).

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

12342240 is a wasteful number, since it uses less digits than its factorization.

12342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12342240 is about 3513.1524305102. The cubic root of 12342240 is about 231.0989624887.

Adding to 12342240 its reverse (4224321), we get a palindrome (16566561).

The spelling of 12342240 in words is "twelve million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 2857 4320 5714 8571 11428 14285 17142 22856 25713 28570 34284 42855 45712 51426 57140 68568 77139 85710 91424 102852 114280 128565 137136 154278 171420 205704 228560 257130 274272 308556 342840 385695 411408 457120 514260 617112 685680 771390 822816 1028520 1234224 1371360 1542780 2057040 2468448 3085560 4114080 6171120 12342240