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1144344300 = 22352112315077
BaseRepresentation
bin100010000110101…
…0100111011101100
32221202021201021020
41010031110323230
54320423004200
6305315134140
740233523521
oct10415247354
92852251236
101144344300
11537a528a0
1227b2a4350
13153108a08
14abda3148
156a6e4ea0
hex44354eec

1144344300 has 144 divisors (see below), whose sum is σ = 3769258752. Its totient is φ = 265337600.

The previous prime is 1144344283. The next prime is 1144344301. The reversal of 1144344300 is 34434411.

It is not an unprimeable number, because it can be changed into a prime (1144344301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68362 + ... + 83438.

It is an arithmetic number, because the mean of its divisors is an integer number (26175408).

Almost surely, 21144344300 is an apocalyptic number.

1144344300 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 1144344300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884629376).

1144344300 is an abundant number, since it is smaller than the sum of its proper divisors (2624914452).

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

1144344300 is a wasteful number, since it uses less digits than its factorization.

1144344300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15128 (or 15121 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1144344300 is about 33828.1583891290. The cubic root of 1144344300 is about 1045.9692174707.

Adding to 1144344300 its reverse (34434411), we get a palindrome (1178778711).

The spelling of 1144344300 in words is "one billion, one hundred forty-four million, three hundred forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 25 30 33 44 46 50 55 60 66 69 75 92 100 110 115 132 138 150 165 220 230 253 275 276 300 330 345 460 506 550 575 660 690 759 825 1012 1100 1150 1265 1380 1518 1650 1725 2300 2530 3036 3300 3450 3795 5060 6325 6900 7590 12650 15077 15180 18975 25300 30154 37950 45231 60308 75385 75900 90462 150770 165847 180924 226155 301540 331694 346771 376925 452310 497541 663388 693542 753850 829235 904620 995082 1040313 1130775 1387084 1507700 1658470 1733855 1990164 2080626 2261550 2487705 3316940 3467710 3814481 4146175 4161252 4523100 4975410 5201565 6935420 7628962 8292350 8669275 9950820 10403130 11443443 12438525 15257924 16584700 17338550 19072405 20806260 22886886 24877050 26007825 34677100 38144810 45773772 49754100 52015650 57217215 76289620 95362025 104031300 114434430 190724050 228868860 286086075 381448100 572172150 1144344300