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12340200 = 23352131157
BaseRepresentation
bin101111000100…
…101111101000
3212012221120110
4233010233220
511124341300
61120254320
7206614155
oct57045750
925187513
1012340200
116a69414
1241713a0
132730ac2
1418d322c
15113b550
hexbc4be8

12340200 has 96 divisors (see below), whose sum is σ = 38792160. Its totient is φ = 3244800.

The previous prime is 12340199. The next prime is 12340271. The reversal of 12340200 is 204321.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78522 + ... + 78678.

It is an arithmetic number, because the mean of its divisors is an integer number (404085).

Almost surely, 212340200 is an apocalyptic number.

12340200 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 12340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19396080).

12340200 is an abundant number, since it is smaller than the sum of its proper divisors (26451960).

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

12340200 is a wasteful number, since it uses less digits than its factorization.

12340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12340200 is about 3512.8620809818. The cubic root of 12340200 is about 231.0862293096.

Adding to 12340200 its reverse (204321), we get a palindrome (12544521).

The spelling of 12340200 in words is "twelve million, three hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 131 150 157 200 262 300 314 393 471 524 600 628 655 785 786 942 1048 1256 1310 1570 1572 1884 1965 2355 2620 3140 3144 3275 3768 3925 3930 4710 5240 6280 6550 7850 7860 9420 9825 11775 13100 15700 15720 18840 19650 20567 23550 26200 31400 39300 41134 47100 61701 78600 82268 94200 102835 123402 164536 205670 246804 308505 411340 493608 514175 617010 822680 1028350 1234020 1542525 2056700 2468040 3085050 4113400 6170100 12340200