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1029530304 = 26331154163
BaseRepresentation
bin111101010111010…
…110001011000000
32122202020120002000
4331113112023000
54102024432204
6250054224000
734340602035
oct7527261300
92582216060
101029530304
114891633a0
12248955000
131353a943a
149aa3738c
15605b6039
hex3d5d62c0

1029530304 has 112 divisors (see below), whose sum is σ = 3301837440. Its totient is φ = 311973120.

The previous prime is 1029530303. The next prime is 1029530309. The reversal of 1029530304 is 4030359201.

1029530304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1029530303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8074 + ... + 46089.

Almost surely, 21029530304 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 1029530304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650918720).

1029530304 is an abundant number, since it is smaller than the sum of its proper divisors (2272307136).

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

1029530304 is a wasteful number, since it uses less digits than its factorization.

1029530304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54195 (or 54179 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1029530304 is about 32086.2946442870. The cubic root of 1029530304 is about 1009.7481004321.

Adding to 1029530304 its reverse (4030359201), we get a palindrome (5059889505).

The spelling of 1029530304 in words is "one billion, twenty-nine million, five hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 54163 108326 162489 216652 324978 433304 487467 595793 649956 866608 974934 1191586 1299912 1462401 1733216 1787379 1949868 2383172 2599824 2924802 3466432 3574758 3899736 4766344 5199648 5362137 5849604 7149516 7799472 9532688 10399296 10724274 11699208 14299032 15598944 16086411 19065376 21448548 23398416 28598064 31197888 32172822 38130752 42897096 46796832 57196128 64345644 85794192 93593664 114392256 128691288 171588384 257382576 343176768 514765152 1029530304