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244212960 = 25352512027
BaseRepresentation
bin11101000111001…
…10010011100000
3122000112022012110
432203212103200
51000004303320
640122155320
76023530065
oct1643462340
9560468173
10244212960
111159408a2
1269952b40
133b797614
1424610c6c
151668e5e0
hexe8e64e0

244212960 has 96 divisors (see below), whose sum is σ = 772716672. Its totient is φ = 64832000.

The previous prime is 244212931. The next prime is 244212961. The reversal of 244212960 is 69212442.

244212960 is digitally balanced in base 3, 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244212961) 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, 119467 + ... + 121493.

It is an arithmetic number, because the mean of its divisors is an integer number (8049132).

Almost surely, 2244212960 is an apocalyptic number.

244212960 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 244212960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386358336).

244212960 is an abundant number, since it is smaller than the sum of its proper divisors (528503712).

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

244212960 is a wasteful number, since it uses less digits than its factorization.

244212960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 244212960 is about 15627.3145485717. The cubic root of 244212960 is about 625.0617197715.

The spelling of 244212960 in words is "two hundred forty-four million, two hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 251 480 502 753 1004 1255 1506 2008 2027 2510 3012 3765 4016 4054 5020 6024 6081 7530 8032 8108 10040 10135 12048 12162 15060 16216 20080 20270 24096 24324 30120 30405 32432 40160 40540 48648 60240 60810 64864 81080 97296 120480 121620 162160 194592 243240 324320 486480 508777 972960 1017554 1526331 2035108 2543885 3052662 4070216 5087770 6105324 7631655 8140432 10175540 12210648 15263310 16280864 20351080 24421296 30526620 40702160 48842592 61053240 81404320 122106480 244212960