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244213344 = 25321316473
BaseRepresentation
bin11101000111001…
…10011001100000
3122000112022201200
432203212121200
51000004311334
640122201200
76023531154
oct1643463140
9560468650
10244213344
11115941111
1269953200
133b79784b
1424611064
151668e799
hexe8e6660

244213344 has 72 divisors (see below), whose sum is σ = 699891192. Its totient is φ = 80770560.

The previous prime is 244213339. The next prime is 244213391. The reversal of 244213344 is 443312442.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 34492 + ... + 40964.

It is an arithmetic number, because the mean of its divisors is an integer number (9720711).

Almost surely, 2244213344 is an apocalyptic number.

244213344 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 244213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349945596).

244213344 is an abundant number, since it is smaller than the sum of its proper divisors (455677848).

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

244213344 is a wasteful number, since it uses less digits than its factorization.

244213344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6620 (or 6609 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 244213344 is about 15627.3268347469. The cubic root of 244213344 is about 625.0620473867.

Adding to 244213344 its reverse (443312442), we get a palindrome (687525786).

The spelling of 244213344 in words is "two hundred forty-four million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 524 786 1048 1179 1572 2096 2358 3144 4192 4716 6288 6473 9432 12576 12946 18864 19419 25892 37728 38838 51784 58257 77676 103568 116514 155352 207136 233028 310704 466056 621408 847963 932112 1695926 1864224 2543889 3391852 5087778 6783704 7631667 10175556 13567408 15263334 20351112 27134816 30526668 40702224 61053336 81404448 122106672 244213344