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1244424000 = 26353192729
BaseRepresentation
bin100101000101100…
…0110011101000000
310012201121021210210
41022023012131000
510022033032000
6323252154120
742560300211
oct11213063500
93181537723
101244424000
11589499196
122a8908940
1316aa79881
14bb3b5408
15743b3350
hex4a2c6740

1244424000 has 224 divisors, whose sum is σ = 4326940800. Its totient is φ = 314265600.

The previous prime is 1244423977. The next prime is 1244424023. The reversal of 1244424000 is 4244421.

It is an interprime number because it is at equal distance from previous prime (1244423977) and next prime (1244424023).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454636 + ... + 457364.

It is an arithmetic number, because the mean of its divisors is an integer number (19316700).

Almost surely, 21244424000 is an apocalyptic number.

1244424000 is a gapful number since it is divisible by the number (10) 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 1244424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163470400).

1244424000 is an abundant number, since it is smaller than the sum of its proper divisors (3082516800).

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

1244424000 is a wasteful number, since it uses less digits than its factorization.

1244424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 1244424000 is about 35276.3943735751. The cubic root of 1244424000 is about 1075.6132070224.

Adding to 1244424000 its reverse (4244421), we get a palindrome (1248668421).

The spelling of 1244424000 in words is "one billion, two hundred forty-four million, four hundred twenty-four thousand".