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244103440 = 24572915031
BaseRepresentation
bin11101000110010…
…11100100010000
3122000022201222011
432203023210100
5444442302230
640115552304
76022562560
oct1643134420
9560281864
10244103440
11115876589
12698bb694
133b759809
14245c2da0
151666be2a
hexe8cb910

244103440 has 80 divisors (see below), whose sum is σ = 671028480. Its totient is φ = 80801280.

The previous prime is 244103437. The next prime is 244103441. The reversal of 244103440 is 44301442.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (244103441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8725 + ... + 23755.

It is an arithmetic number, because the mean of its divisors is an integer number (8387856).

Almost surely, 2244103440 is an apocalyptic number.

244103440 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 244103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335514240).

244103440 is an abundant number, since it is smaller than the sum of its proper divisors (426925040).

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

244103440 is a wasteful number, since it uses less digits than its factorization.

244103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15080 (or 15074 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 244103440 is about 15623.8100346874. The cubic root of 244103440 is about 624.9682671889.

Adding to 244103440 its reverse (44301442), we get a palindrome (288404882).

It can be divided in two parts, 244 and 103440, that added together give a square (103684 = 3222).

The spelling of 244103440 in words is "two hundred forty-four million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 4060 8120 15031 16240 30062 60124 75155 105217 120248 150310 210434 240496 300620 420868 435899 526085 601240 841736 871798 1052170 1202480 1683472 1743596 2104340 2179495 3051293 3487192 4208680 4358990 6102586 6974384 8417360 8717980 12205172 15256465 17435960 24410344 30512930 34871920 48820688 61025860 122051720 244103440