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1041230304 = 253216721649
BaseRepresentation
bin111110000011111…
…110100111100000
32200120020222110100
4332003332213200
54113023332204
6251153102400
734542211602
oct7603764740
92616228410
101041230304
11494824814
12250857a00
13137944a0a
149c401172
1561627a39
hex3e0fe9e0

1041230304 has 72 divisors (see below), whose sum is σ = 2978866800. Its totient is φ = 344982528.

The previous prime is 1041230299. The next prime is 1041230321. The reversal of 1041230304 is 4030321401.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 37272 + ... + 58920.

It is an arithmetic number, because the mean of its divisors is an integer number (41373150).

Almost surely, 21041230304 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 1041230304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489433400).

1041230304 is an abundant number, since it is smaller than the sum of its proper divisors (1937636496).

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

1041230304 is a wasteful number, since it uses less digits than its factorization.

1041230304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21832 (or 21821 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1041230304 is about 32268.1004089178. The cubic root of 1041230304 is about 1013.5587637119.

Adding to 1041230304 its reverse (4030321401), we get a palindrome (5071551705).

The spelling of 1041230304 in words is "one billion, forty-one million, two hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 167 288 334 501 668 1002 1336 1503 2004 2672 3006 4008 5344 6012 8016 12024 16032 21649 24048 43298 48096 64947 86596 129894 173192 194841 259788 346384 389682 519576 692768 779364 1039152 1558728 2078304 3117456 3615383 6234912 7230766 10846149 14461532 21692298 28923064 32538447 43384596 57846128 65076894 86769192 115692256 130153788 173538384 260307576 347076768 520615152 1041230304