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1344230300 = 22527107131137
BaseRepresentation
bin101000000011111…
…0101001110011100
310110200101222022102
41100013311032130
510223110332200
6341215304232
745211524530
oct12007651634
93420358272
101344230300
1162a868136
1231621b078
1318565315a
14ca755bc0
157d02a6d5
hex501f539c

1344230300 has 144 divisors (see below), whose sum is σ = 3415281408. Its totient is φ = 449779200.

The previous prime is 1344230299. The next prime is 1344230323. The reversal of 1344230300 is 30324431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9811832 + ... + 9811968.

It is an arithmetic number, because the mean of its divisors is an integer number (23717232).

Almost surely, 21344230300 is an apocalyptic number.

1344230300 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 1344230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707640704).

1344230300 is an abundant number, since it is smaller than the sum of its proper divisors (2071051108).

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

1344230300 is a wasteful number, since it uses less digits than its factorization.

1344230300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1344230300 is about 36663.7463988611. The cubic root of 1344230300 is about 1103.6327007062.

Adding to 1344230300 its reverse (30324431), we get a palindrome (1374554731).

The spelling of 1344230300 in words is "one billion, three hundred forty-four million, two hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 107 131 137 140 175 214 262 274 350 428 524 535 548 655 685 700 749 917 959 1070 1310 1370 1498 1834 1918 2140 2620 2675 2740 2996 3275 3425 3668 3745 3836 4585 4795 5350 6550 6850 7490 9170 9590 10700 13100 13700 14017 14659 14980 17947 18340 18725 19180 22925 23975 28034 29318 35894 37450 45850 47950 56068 58636 70085 71788 73295 74900 89735 91700 95900 98119 102613 125629 140170 146590 179470 196238 205226 251258 280340 293180 350425 358940 366475 392476 410452 448675 490595 502516 513065 628145 700850 732950 897350 981190 1026130 1256290 1401700 1465900 1794700 1920329 1962380 2052260 2452975 2512580 2565325 3140725 3840658 4905950 5130650 6281450 7681316 9601645 9811900 10261300 12562900 13442303 19203290 26884606 38406580 48008225 53769212 67211515 96016450 134423030 192032900 268846060 336057575 672115150 1344230300