Search a number
-
+
12340096 = 271753107
BaseRepresentation
bin101111000100…
…101110000000
3212012221102121
4233010232000
511124340341
61120254024
7206613646
oct57045600
925187377
1012340096
116a6932a
124171314
132730a42
1418d3196
15113b4d1
hexbc4b80

12340096 has 64 divisors (see below), whose sum is σ = 26768880. Its totient is φ = 5644288.

The previous prime is 12340091. The next prime is 12340103. The reversal of 12340096 is 69004321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 12340096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12340091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115275 + ... + 115381.

Almost surely, 212340096 is an apocalyptic number.

12340096 is a gapful number since it is divisible by the number (16) 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 12340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13384440).

12340096 is an abundant number, since it is smaller than the sum of its proper divisors (14428784).

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

12340096 is a wasteful number, since it uses less digits than its factorization.

12340096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 12340096 is about 3512.8472782061. The cubic root of 12340096 is about 231.0855801295.

The spelling of 12340096 in words is "twelve million, three hundred forty thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 107 128 136 212 214 272 424 428 544 848 856 901 1088 1696 1712 1802 1819 2176 3392 3424 3604 3638 5671 6784 6848 7208 7276 11342 13696 14416 14552 22684 28832 29104 45368 57664 58208 90736 96407 115328 116416 181472 192814 232832 362944 385628 725888 771256 1542512 3085024 6170048 12340096