Search a number
-
+
12344023000 = 2353175871237
BaseRepresentation
bin10110111111100001…
…01101011111011000
31011212021110100012001
423133300231133120
5200240032214000
65400515130344
7614616315151
oct133760553730
934767410161
1012344023000
115264974201
122485ba39b4
13121950732a
148515b0928
154c3a7846a
hex2dfc2d7d8

12344023000 has 128 divisors (see below), whose sum is σ = 30661001280. Its totient is φ = 4635494400.

The previous prime is 12344022997. The next prime is 12344023001. The reversal of 12344023000 is 32044321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12344023001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9978382 + ... + 9979618.

Almost surely, 212344023000 is an apocalyptic number.

12344023000 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 12344023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15330500640).

12344023000 is an abundant number, since it is smaller than the sum of its proper divisors (18316978280).

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

12344023000 is a wasteful number, since it uses less digits than its factorization.

12344023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 12344023000 its reverse (32044321), we get a palindrome (12376067321).

The spelling of 12344023000 in words is "twelve billion, three hundred forty-four million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 587 680 850 1000 1174 1237 1700 2125 2348 2474 2935 3400 4250 4696 4948 5870 6185 8500 9896 9979 11740 12370 14675 17000 19958 21029 23480 24740 29350 30925 39916 42058 49480 49895 58700 61850 73375 79832 84116 99790 105145 117400 123700 146750 154625 168232 199580 210290 247400 249475 293500 309250 399160 420580 498950 525725 587000 618500 726119 841160 997900 1051450 1237000 1247375 1452238 1995800 2102900 2494750 2628625 2904476 3630595 4205800 4989500 5257250 5808952 7261190 9979000 10514500 12344023 14522380 18152975 21029000 24688046 29044760 36305950 49376092 61720115 72611900 90764875 98752184 123440230 145223800 181529750 246880460 308600575 363059500 493760920 617201150 726119000 1234402300 1543002875 2468804600 3086005750 6172011500 12344023000