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244434340 = 22523691769
BaseRepresentation
bin11101001000111…
…00010110100100
3122000221112212201
432210130112210
51000033344330
640131024244
76025441363
oct1644342644
9560845781
10244434340
11115a82157
1269a3b084
133b844307
142466b7da
15166d4eca
hexe91c5a4

244434340 has 48 divisors (see below), whose sum is σ = 537102720. Its totient is φ = 93265920.

The previous prime is 244434329. The next prime is 244434343. The reversal of 244434340 is 43434442.

It is a junction number, because it is equal to n+sod(n) for n = 244434299 and 244434308.

It is not an unprimeable number, because it can be changed into a prime (244434343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317476 + ... + 318244.

It is an arithmetic number, because the mean of its divisors is an integer number (11189640).

Almost surely, 2244434340 is an apocalyptic number.

244434340 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 244434340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268551360).

244434340 is an abundant number, since it is smaller than the sum of its proper divisors (292668380).

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

244434340 is a wasteful number, since it uses less digits than its factorization.

244434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 244434340 is about 15634.3960548529. The cubic root of 244434340 is about 625.2505363570.

Adding to 244434340 its reverse (43434442), we get a palindrome (287868782).

The spelling of 244434340 in words is "two hundred forty-four million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 691 769 1382 1538 2764 3076 3455 3845 6910 7690 13820 15380 15893 17687 31786 35374 63572 70748 79465 88435 158930 176870 317860 353740 531379 1062758 2125516 2656895 5313790 10627580 12221717 24443434 48886868 61108585 122217170 244434340