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12340272 = 2437191933
BaseRepresentation
bin101111000100…
…110000110000
3212012221200010
4233010300300
511124342042
61120254520
7206614320
oct57046060
925187603
1012340272
116a6947a
124171440
132730b49
1418d3280
15113b59c
hexbc4c30

12340272 has 80 divisors (see below), whose sum is σ = 38370560. Its totient is φ = 3338496.

The previous prime is 12340271. The next prime is 12340309. The reversal of 12340272 is 27204321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12340271) 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, 5418 + ... + 7350.

It is an arithmetic number, because the mean of its divisors is an integer number (479632).

Almost surely, 212340272 is an apocalyptic number.

12340272 is a gapful number since it is divisible by the number (12) 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 12340272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19185280).

12340272 is an abundant number, since it is smaller than the sum of its proper divisors (26030288).

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

12340272 is a wasteful number, since it uses less digits than its factorization.

12340272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 12340272 is about 3512.8723290208. The cubic root of 12340272 is about 231.0866787398.

Adding to 12340272 its reverse (27204321), we get a palindrome (39544593).

The spelling of 12340272 in words is "twelve million, three hundred forty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 1933 2128 3192 3866 5799 6384 7732 11598 13531 15464 23196 27062 30928 36727 40593 46392 54124 73454 81186 92784 108248 110181 146908 162372 216496 220362 257089 293816 324744 440724 514178 587632 649488 771267 881448 1028356 1542534 1762896 2056712 3085068 4113424 6170136 12340272