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244242400 = 25521717959
BaseRepresentation
bin11101000111011…
…01011111100000
3122000120210120211
432203231133200
51000011224100
640122543504
76024011653
oct1643553740
9560523524
10244242400
11115960a26
1269967b94
133b7a7b3c
142461b89a
15166981ba
hexe8ed7e0

244242400 has 72 divisors (see below), whose sum is σ = 631365840. Its totient is φ = 91944960.

The previous prime is 244242389. The next prime is 244242407. The reversal of 244242400 is 4242442.

244242400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244242407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4621 + ... + 22579.

It is an arithmetic number, because the mean of its divisors is an integer number (8768970).

Almost surely, 2244242400 is an apocalyptic number.

244242400 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 244242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315682920).

244242400 is an abundant number, since it is smaller than the sum of its proper divisors (387123440).

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

244242400 is a wasteful number, since it uses less digits than its factorization.

244242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17996 (or 17983 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 244242400 is about 15628.2564606548. The cubic root of 244242400 is about 625.0868359347.

Adding to 244242400 its reverse (4242442), we get a palindrome (248484842).

It can be divided in two parts, 24 and 4242400, that added together give a palindrome (4242424).

The spelling of 244242400 in words is "two hundred forty-four million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 544 680 800 850 1360 1700 2720 3400 6800 13600 17959 35918 71836 89795 143672 179590 287344 305303 359180 448975 574688 610606 718360 897950 1221212 1436720 1526515 1795900 2442424 2873440 3053030 3591800 4884848 6106060 7183600 7632575 9769696 12212120 14367200 15265150 24424240 30530300 48848480 61060600 122121200 244242400