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12314340 = 2232537432
BaseRepresentation
bin101110111110…
…011011100100
3212011122002200
4232332123210
511123024330
61115534500
7206445603
oct56763344
925148080
1012314340
116a50a45
12415a430
1327220bc
1418c7a3a
151133a60
hexbbe6e4

12314340 has 108 divisors (see below), whose sum is σ = 39275964. Its totient is φ = 3120768.

The previous prime is 12314333. The next prime is 12314353. The reversal of 12314340 is 4341321.

12314340 is a `hidden beast` number, since 1 + 231 + 434 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8054244 + 4260096 = 2838^2 + 2064^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 286359 + ... + 286401.

Almost surely, 212314340 is an apocalyptic number.

12314340 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 12314340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19637982).

12314340 is an abundant number, since it is smaller than the sum of its proper divisors (26961624).

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

12314340 is a wasteful number, since it uses less digits than its factorization.

12314340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12314340 is about 3509.1793912537. The cubic root of 12314340 is about 230.9246957554.

Adding to 12314340 its reverse (4341321), we get a palindrome (16655661).

The spelling of 12314340 in words is "twelve million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 43 45 60 74 86 90 111 129 148 172 180 185 215 222 258 333 370 387 430 444 516 555 645 666 740 774 860 1110 1290 1332 1548 1591 1665 1849 1935 2220 2580 3182 3330 3698 3870 4773 5547 6364 6660 7396 7740 7955 9245 9546 11094 14319 15910 16641 18490 19092 22188 23865 27735 28638 31820 33282 36980 47730 55470 57276 66564 68413 71595 83205 95460 110940 136826 143190 166410 205239 273652 286380 332820 342065 410478 615717 684130 820956 1026195 1231434 1368260 2052390 2462868 3078585 4104780 6157170 12314340