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12341400 = 2335267307
BaseRepresentation
bin101111000101…
…000010011000
3212020000012220
4233011002120
511124411100
61120304040
7206620521
oct57050230
925200186
1012341400
116a6a305
124172020
132731506
1418d3848
15113baa0
hexbc5098

12341400 has 96 divisors (see below), whose sum is σ = 38955840. Its totient is φ = 3231360.

The previous prime is 12341359. The next prime is 12341411. The reversal of 12341400 is 414321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12341400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40047 + ... + 40353.

It is an arithmetic number, because the mean of its divisors is an integer number (405790).

Almost surely, 212341400 is an apocalyptic number.

12341400 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 12341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19477920).

12341400 is an abundant number, since it is smaller than the sum of its proper divisors (26614440).

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

12341400 is a wasteful number, since it uses less digits than its factorization.

12341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12341400 is about 3513.0328777283. The cubic root of 12341400 is about 231.0937195849.

Adding to 12341400 its reverse (414321), we get a palindrome (12755721).

The spelling of 12341400 in words is "twelve million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 134 150 200 201 268 300 307 335 402 536 600 614 670 804 921 1005 1228 1340 1535 1608 1675 1842 2010 2456 2680 3070 3350 3684 4020 4605 5025 6140 6700 7368 7675 8040 9210 10050 12280 13400 15350 18420 20100 20569 23025 30700 36840 40200 41138 46050 61400 61707 82276 92100 102845 123414 164552 184200 205690 246828 308535 411380 493656 514225 617070 822760 1028450 1234140 1542675 2056900 2468280 3085350 4113800 6170700 12341400