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12342512 = 247313173
BaseRepresentation
bin101111000101…
…010011110000
3212020001202002
4233011103300
511124430022
61120313132
7206624000
oct57052360
925201662
1012342512
116a70126
1241727a8
132731b80
1418d4000
15113c092
hexbc54f0

12342512 has 80 divisors (see below), whose sum is σ = 30206400. Its totient is φ = 4854528.

The previous prime is 12342511. The next prime is 12342541. The reversal of 12342512 is 21524321.

12342512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12342511) 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, 71258 + ... + 71430.

It is an arithmetic number, because the mean of its divisors is an integer number (377580).

Almost surely, 212342512 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 12342512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15103200).

12342512 is an abundant number, since it is smaller than the sum of its proper divisors (17863888).

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

12342512 is a wasteful number, since it uses less digits than its factorization.

12342512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 195 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 12342512 is about 3513.1911419677. The cubic root of 12342512 is about 231.1006601399.

Adding to 12342512 its reverse (21524321), we get a palindrome (33866833).

The spelling of 12342512 in words is "twelve million, three hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 173 182 196 208 343 346 364 392 637 686 692 728 784 1211 1274 1372 1384 1456 2249 2422 2548 2744 2768 4459 4498 4844 5096 5488 8477 8918 8996 9688 10192 15743 16954 17836 17992 19376 31486 33908 35672 35984 59339 62972 67816 71344 110201 118678 125944 135632 220402 237356 251888 440804 474712 771407 881608 949424 1542814 1763216 3085628 6171256 12342512