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244205040 = 24351496829
BaseRepresentation
bin11101000111001…
…00010111110000
3122000111220100010
432203210113300
51000004030130
640122054520
76023465022
oct1643442760
9560456303
10244205040
11115935952
126994a440
133b793b31
142460c012
151668c0b0
hexe8e45f0

244205040 has 80 divisors (see below), whose sum is σ = 762228000. Its totient is φ = 64674816.

The previous prime is 244205033. The next prime is 244205077. The reversal of 244205040 is 40502442.

244205040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2442050402 = 119272203122803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 244204998 and 244205016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32346 + ... + 39174.

It is an arithmetic number, because the mean of its divisors is an integer number (9527850).

Almost surely, 2244205040 is an apocalyptic number.

244205040 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 244205040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381114000).

244205040 is an abundant number, since it is smaller than the sum of its proper divisors (518022960).

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

244205040 is a wasteful number, since it uses less digits than its factorization.

244205040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6994 (or 6988 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 244205040 is about 15627.0611440539. The cubic root of 244205040 is about 625.0549626331.

Adding to 244205040 its reverse (40502442), we get a palindrome (284707482).

The spelling of 244205040 in words is "two hundred forty-four million, two hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 149 240 298 447 596 745 894 1192 1490 1788 2235 2384 2980 3576 4470 5960 6829 7152 8940 11920 13658 17880 20487 27316 34145 35760 40974 54632 68290 81948 102435 109264 136580 163896 204870 273160 327792 409740 546320 819480 1017521 1638960 2035042 3052563 4070084 5087605 6105126 8140168 10175210 12210252 15262815 16280336 20350420 24420504 30525630 40700840 48841008 61051260 81401680 122102520 244205040