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1044079344 = 24327111729191
BaseRepresentation
bin111110001110110…
…110001011110000
32200202121201121100
4332032312023300
54114241014334
6251334124400
734605346050
oct7616661360
92622551540
101044079344
114963a02a0
122517b0700
13138401739
149c943560
15619dbc99
hex3e3b62f0

1044079344 has 480 divisors, whose sum is σ = 4011171840. Its totient is φ = 245145600.

The previous prime is 1044079343. The next prime is 1044079369. The reversal of 1044079344 is 4439704401.

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

It is a junction number, because it is equal to n+sod(n) for n = 1044079299 and 1044079308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044079343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5466289 + ... + 5466479.

It is an arithmetic number, because the mean of its divisors is an integer number (8356608).

Almost surely, 21044079344 is an apocalyptic number.

1044079344 is a gapful number since it is divisible by the number (14) 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 1044079344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005585920).

1044079344 is an abundant number, since it is smaller than the sum of its proper divisors (2967092496).

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

1044079344 is a wasteful number, since it uses less digits than its factorization.

1044079344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1044079344 is about 32312.2166370554. The cubic root of 1044079344 is about 1014.4823633148.

The spelling of 1044079344 in words is "one billion, forty-four million, seventy-nine thousand, three hundred forty-four".