Search a number
-
+
1023794568 = 233243330683
BaseRepresentation
bin111101000001011…
…101110110001000
32122100110011010100
4331001131312020
54044042411233
6245331245400
734241052546
oct7501356610
92570404110
101023794568
114859a6015
12246a49860
1313414b804
1499d82d96
155ed31813
hex3d05dd88

1023794568 has 48 divisors (see below), whose sum is σ = 2837268720. Its totient is φ = 333327456.

The previous prime is 1023794567. The next prime is 1023794573. The reversal of 1023794568 is 8654973201.

1023794568 is a `hidden beast` number, since 10 + 2 + 3 + 79 + 4 + 568 = 666.

1023794568 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.

1023794568 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1023794567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162246 + ... + 168437.

It is an arithmetic number, because the mean of its divisors is an integer number (59109765).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1023794568 = 2047589136, but 3⋅1023794568 = 3071383704 is not.

Almost surely, 21023794568 is an apocalyptic number.

1023794568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1023794568 is an abundant number, since it is smaller than the sum of its proper divisors (1813474152).

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

1023794568 is a wasteful number, since it uses less digits than its factorization.

1023794568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330738 (or 330731 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1023794568 is about 31996.7899639948. The cubic root of 1023794568 is about 1007.8694322567.

The spelling of 1023794568 in words is "one billion, twenty-three million, seven hundred ninety-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 330683 661366 992049 1322732 1984098 2645464 2976147 3968196 5952294 7936392 11904588 14219369 23809176 28438738 42658107 56877476 85316214 113754952 127974321 170632428 255948642 341264856 511897284 1023794568