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244834304 = 2131121319
BaseRepresentation
bin11101001011111…
…10000000000000
3122001200212112012
432211332000000
51000134144204
640143352052
76032025431
oct1645760000
9561625465
10244834304
11116225700
1269bb2628
133b954390
1424733488
151676376e
hexe97e000

244834304 has 168 divisors, whose sum is σ = 610102920. Its totient is φ = 97320960.

The previous prime is 244834301. The next prime is 244834307. The reversal of 244834304 is 403438442.

It is an interprime number because it is at equal distance from previous prime (244834301) and next prime (244834307).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244834301) 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, 12886007 + ... + 12886025.

It is an arithmetic number, because the mean of its divisors is an integer number (3631565).

Almost surely, 2244834304 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 244834304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305051460).

244834304 is an abundant number, since it is smaller than the sum of its proper divisors (365268616).

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

244834304 is a wasteful number, since it uses less digits than its factorization.

244834304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 244834304 is about 15647.1819827086. The cubic root of 244834304 is about 625.5913796690.

The spelling of 244834304 in words is "two hundred forty-four million, eight hundred thirty-four thousand, three hundred four".