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244399440 = 24351795689
BaseRepresentation
bin11101001000100…
…11110101010000
3122000212210000010
432210103311100
51000031240230
640130154520
76025234545
oct1644236520
9560783003
10244399440
11115a58a0a
1269a22a40
133b83146c
142465cbcc
15166c99b0
hexe913d50

244399440 has 80 divisors (see below), whose sum is σ = 762004800. Its totient is φ = 64797696.

The previous prime is 244399439. The next prime is 244399447. The reversal of 244399440 is 44993442.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244399447) 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, 40116 + ... + 45804.

It is an arithmetic number, because the mean of its divisors is an integer number (9525060).

Almost surely, 2244399440 is an apocalyptic number.

244399440 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 244399440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381002400).

244399440 is an abundant number, since it is smaller than the sum of its proper divisors (517605360).

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

244399440 is a wasteful number, since it uses less digits than its factorization.

244399440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 244399440 is about 15633.2798861915. The cubic root of 244399440 is about 625.2207774692.

The spelling of 244399440 in words is "two hundred forty-four million, three hundred ninety-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 179 240 358 537 716 895 1074 1432 1790 2148 2685 2864 3580 4296 5370 5689 7160 8592 10740 11378 14320 17067 21480 22756 28445 34134 42960 45512 56890 68268 85335 91024 113780 136536 170670 227560 273072 341340 455120 682680 1018331 1365360 2036662 3054993 4073324 5091655 6109986 8146648 10183310 12219972 15274965 16293296 20366620 24439944 30549930 40733240 48879888 61099860 81466480 122199720 244399440