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244411104 = 2537401907
BaseRepresentation
bin11101001000101…
…10101011100000
3122000220101000010
432210112223200
51000032123404
640130324520
76025313550
oct1644265340
9560811003
10244411104
11115a66753
1269a29740
133b836872
1424663160
15166cd189
hexe916ae0

244411104 has 96 divisors (see below), whose sum is σ = 735872256. Its totient is φ = 69580800.

The previous prime is 244411061. The next prime is 244411207. The reversal of 244411104 is 401114442.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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, 269019 + ... + 269925.

It is an arithmetic number, because the mean of its divisors is an integer number (7665336).

Almost surely, 2244411104 is an apocalyptic number.

244411104 is a gapful number since it is divisible by the number (24) 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 244411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367936128).

244411104 is an abundant number, since it is smaller than the sum of its proper divisors (491461152).

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

244411104 is a wasteful number, since it uses less digits than its factorization.

244411104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 244411104 is about 15633.6529320565. The cubic root of 244411104 is about 625.2307235628.

Adding to 244411104 its reverse (401114442), we get a palindrome (645525546).

The spelling of 244411104 in words is "two hundred forty-four million, four hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 401 672 802 907 1203 1604 1814 2406 2721 2807 3208 3628 4812 5442 5614 6349 6416 7256 8421 9624 10884 11228 12698 12832 14512 16842 19047 19248 21768 22456 25396 29024 33684 38094 38496 43536 44912 50792 67368 76188 87072 89824 101584 134736 152376 203168 269472 304752 363707 609504 727414 1091121 1454828 2182242 2545949 2909656 4364484 5091898 5819312 7637847 8728968 10183796 11638624 15275694 17457936 20367592 30551388 34915872 40735184 61102776 81470368 122205552 244411104