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244013000 = 23537113169
BaseRepresentation
bin11101000101101…
…01011111001000
3122000011010220112
432202311133020
5444431404000
640114013452
76022035110
oct1642653710
9560133815
10244013000
11115814640
1269877288
133b7275ba
142459c040
1516650235
hexe8b57c8

244013000 has 128 divisors (see below), whose sum is σ = 712108800. Its totient is φ = 76032000.

The previous prime is 244012999. The next prime is 244013009. The reversal of 244013000 is 310442.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (244013009) 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, 75416 + ... + 78584.

It is an arithmetic number, because the mean of its divisors is an integer number (5563350).

Almost surely, 2244013000 is an apocalyptic number.

244013000 is a gapful number since it is divisible by the number (20) 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 244013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356054400).

244013000 is an abundant number, since it is smaller than the sum of its proper divisors (468095800).

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

244013000 is a wasteful number, since it uses less digits than its factorization.

244013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 244013000 is about 15620.9154661307. The cubic root of 244013000 is about 624.8910743508.

Adding to 244013000 its reverse (310442), we get a palindrome (244323442).

The spelling of 244013000 in words is "two hundred forty-four million, thirteen thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1925 2200 2750 3080 3169 3500 3850 5500 6338 7000 7700 9625 11000 12676 15400 15845 19250 22183 25352 31690 34859 38500 44366 63380 69718 77000 79225 88732 110915 126760 139436 158450 174295 177464 221830 244013 278872 316900 348590 396125 443660 488026 554575 633800 697180 792250 871475 887320 976052 1109150 1220065 1394360 1584500 1742950 1952104 2218300 2440130 2772875 3169000 3485900 4357375 4436600 4880260 5545750 6100325 6971800 8714750 9760520 11091500 12200650 17429500 22183000 24401300 30501625 34859000 48802600 61003250 122006500 244013000