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12340512 = 2536232
BaseRepresentation
bin101111000100…
…110100100000
3212012222000000
4233010310200
511124344022
61120300000
7206615112
oct57046440
925188000
1012340512
116a69678
124171600
132730ca2
1418d33b2
15113b6ac
hexbc4d20

12340512 has 126 divisors (see below), whose sum is σ = 38079027. Its totient is φ = 3934656.

The previous prime is 12340507. The next prime is 12340513. The reversal of 12340512 is 21504321.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 6170256 + 6170256 = 2484^2 + 2484^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2484.

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

It is not an unprimeable number, because it can be changed into a prime (12340513) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 536533 + ... + 536555.

Almost surely, 212340512 is an apocalyptic number.

12340512 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 12340512

12340512 is an abundant number, since it is smaller than the sum of its proper divisors (25738515).

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

12340512 is an frugal number, since it uses more digits than its factorization.

12340512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12340512 is about 3512.9064889348. The cubic root of 12340512 is about 231.0881768279.

Multiplying 12340512 by its sum of digits (18), we get a square (222129216 = 149042).

12340512 divided by its sum of digits (18) gives a square (685584 = 8282).

Adding to 12340512 its reverse (21504321), we get a palindrome (33844833).

The spelling of 12340512 in words is "twelve million, three hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 243 276 288 324 368 414 432 486 529 552 621 648 729 736 828 864 972 1058 1104 1242 1296 1458 1587 1656 1863 1944 2116 2208 2484 2592 2916 3174 3312 3726 3888 4232 4761 4968 5589 5832 6348 6624 7452 7776 8464 9522 9936 11178 11664 12696 14283 14904 16767 16928 19044 19872 22356 23328 25392 28566 29808 33534 38088 42849 44712 50784 57132 59616 67068 76176 85698 89424 114264 128547 134136 152352 171396 178848 228528 257094 268272 342792 385641 457056 514188 536544 685584 771282 1028376 1371168 1542564 2056752 3085128 4113504 6170256 12340512