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244212768 = 25326113901
BaseRepresentation
bin11101000111001…
…10010000100000
3122000112021221100
432203212100200
51000004302033
640122154400
76023526402
oct1643462040
9560467840
10244212768
11115940738
1269952a00
133b7974c7
1424610b72
151668e513
hexe8e6420

244212768 has 72 divisors (see below), whose sum is σ = 705915756. Its totient is φ = 80064000.

The previous prime is 244212767. The next prime is 244212811. The reversal of 244212768 is 867212442.

244212768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 240002064 + 4210704 = 15492^2 + 2052^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (244212767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10618 + ... + 24518.

Almost surely, 2244212768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244212768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352957878).

244212768 is an abundant number, since it is smaller than the sum of its proper divisors (461702988).

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

244212768 is a wasteful number, since it uses less digits than its factorization.

244212768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13978 (or 13967 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 244212768 is about 15627.3084054805. The cubic root of 244212768 is about 625.0615559638.

The spelling of 244212768 in words is "two hundred forty-four million, two hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4392 5856 8784 13901 17568 27802 41703 55604 83406 111208 125109 166812 222416 250218 333624 444832 500436 667248 847961 1000872 1334496 1695922 2001744 2543883 3391844 4003488 5087766 6783688 7631649 10175532 13567376 15263298 20351064 27134752 30526596 40702128 61053192 81404256 122106384 244212768