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244024480 = 2557239473
BaseRepresentation
bin11101000101110…
…00010010100000
3122000011201122201
432202320102200
5444432240410
640114142544
76022113430
oct1642702240
9560151581
10244024480
11115822227
1269881a54
133b72c8ab
14245a22c0
151665383a
hexe8b84a0

244024480 has 96 divisors (see below), whose sum is σ = 687585024. Its totient is φ = 80019456.

The previous prime is 244024471. The next prime is 244024481. The reversal of 244024480 is 84420442.

244024480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (244024481) 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 15 ways as a sum of consecutive naturals, for example, 21024 + ... + 30496.

It is an arithmetic number, because the mean of its divisors is an integer number (7162344).

Almost surely, 2244024480 is an apocalyptic number.

244024480 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 244024480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343792512).

244024480 is an abundant number, since it is smaller than the sum of its proper divisors (443560544).

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

244024480 is a wasteful number, since it uses less digits than its factorization.

244024480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9518 (or 9510 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 244024480 is about 15621.2829178656. The cubic root of 244024480 is about 624.9008738793.

It can be divided in two parts, 24402 and 4480, that added together give a palindrome (28882).

The spelling of 244024480 in words is "two hundred forty-four million, twenty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 560 644 736 805 920 1120 1288 1610 1840 2576 3220 3680 5152 6440 9473 12880 18946 25760 37892 47365 66311 75784 94730 132622 151568 189460 217879 265244 303136 331555 378920 435758 530488 663110 757840 871516 1060976 1089395 1326220 1515680 1525153 1743032 2121952 2178790 2652440 3050306 3486064 4357580 5304880 6100612 6972128 7625765 8715160 10609760 12201224 15251530 17430320 24402448 30503060 34860640 48804896 61006120 122012240 244024480