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12340128 = 253191673
BaseRepresentation
bin101111000100…
…101110100000
3212012221110210
4233010232200
511124341003
61120254120
7206614023
oct57045640
925187423
1012340128
116a69359
124171340
132730a68
1418d31ba
15113b503
hexbc4ba0

12340128 has 48 divisors (see below), whose sum is σ = 32610816. Its totient is φ = 4085760.

The previous prime is 12340103. The next prime is 12340157. The reversal of 12340128 is 82104321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×123401283 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18000 + ... + 18672.

It is an arithmetic number, because the mean of its divisors is an integer number (679392).

Almost surely, 212340128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12340128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16305408).

12340128 is an abundant number, since it is smaller than the sum of its proper divisors (20270688).

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

12340128 is a wasteful number, since it uses less digits than its factorization.

12340128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12340128 is about 3512.8518329130. The cubic root of 12340128 is about 231.0857798776.

Adding to 12340128 its reverse (82104321), we get a palindrome (94444449).

The spelling of 12340128 in words is "twelve million, three hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 382 573 673 764 1146 1346 1528 2019 2292 2692 3056 4038 4584 5384 6112 8076 9168 10768 16152 18336 21536 32304 64608 128543 257086 385629 514172 771258 1028344 1542516 2056688 3085032 4113376 6170064 12340128