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1044214320 = 243512734259
BaseRepresentation
bin111110001111010…
…111001000110000
32200202212120202110
4332033113020300
54114304324240
6251341045320
734606450422
oct7617271060
92622776673
101044214320
11496482746
12251856840
1313844acc6
149c97a812
1561a16c80
hex3e3d7230

1044214320 has 80 divisors (see below), whose sum is σ = 3262648320. Its totient is φ = 276256512.

The previous prime is 1044214319. The next prime is 1044214439. The reversal of 1044214320 is 234124401.

1044214320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13351 + ... + 47609.

It is an arithmetic number, because the mean of its divisors is an integer number (40783104).

Almost surely, 21044214320 is an apocalyptic number.

1044214320 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 1044214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631324160).

1044214320 is an abundant number, since it is smaller than the sum of its proper divisors (2218434000).

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

1044214320 is a wasteful number, since it uses less digits than its factorization.

1044214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34402 (or 34396 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1044214320 is about 32314.3051913545. The cubic root of 1044214320 is about 1014.5260780228.

Adding to 1044214320 its reverse (234124401), we get a palindrome (1278338721).

The spelling of 1044214320 in words is "one billion, forty-four million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 381 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 5080 6096 7620 10160 15240 30480 34259 68518 102777 137036 171295 205554 274072 342590 411108 513885 548144 685180 822216 1027770 1370360 1644432 2055540 2740720 4111080 4350893 8222160 8701786 13052679 17403572 21754465 26105358 34807144 43508930 52210716 65263395 69614288 87017860 104421432 130526790 174035720 208842864 261053580 348071440 522107160 1044214320