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1043204064 = 25373150077
BaseRepresentation
bin111110001011100…
…000011111100000
32200200222020221120
4332023200133200
54114030012224
6251303252240
734565042160
oct7613403740
92620866846
101043204064
11495952721
1225144a080
13138186216
149c7965a0
15618b7779
hex3e2e07e0

1043204064 has 96 divisors (see below), whose sum is σ = 3230631936. Its totient is φ = 288437760.

The previous prime is 1043204059. The next prime is 1043204083. The reversal of 1043204064 is 4604023401.

1043204064 is digitally balanced in base 2, 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 (96).

It is a super-2 number, since 2×10432040642 = 2176549438292232192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 4207 + ... + 45870.

It is an arithmetic number, because the mean of its divisors is an integer number (33652416).

Almost surely, 21043204064 is an apocalyptic number.

1043204064 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 1043204064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615315968).

1043204064 is an abundant number, since it is smaller than the sum of its proper divisors (2187427872).

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

1043204064 is a wasteful number, since it uses less digits than its factorization.

1043204064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50128 (or 50120 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1043204064 is about 32298.6696939673. The cubic root of 1043204064 is about 1014.1987947092.

Adding to 1043204064 its reverse (4604023401), we get a palindrome (5647227465).

The spelling of 1043204064 in words is "one billion, forty-three million, two hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 50077 100154 150231 200308 300462 350539 400616 600924 701078 801232 1051617 1201848 1402156 1552387 1602464 2103234 2403696 2804312 3104774 4206468 4657161 4807392 5608624 6209548 8412936 9314322 10866709 11217248 12419096 16825872 18628644 21733418 24838192 32600127 33651744 37257288 43466836 49676384 65200254 74514576 86933672 130400508 149029152 173867344 260801016 347734688 521602032 1043204064