Search a number
-
+
1042242304 = 2841109911
BaseRepresentation
bin111110000111110…
…101101100000000
32200122011101122211
4332013311230000
54113303223204
6251230511504
734553625205
oct7607655400
92618141584
101042242304
11495356084
12251065594
13137c0a52c
149c5c5cac
1561777804
hex3e1f5b00

1042242304 has 72 divisors (see below), whose sum is σ = 2153067840. Its totient is φ = 503193600.

The previous prime is 1042242269. The next prime is 1042242323. The reversal of 1042242304 is 4032422401.

It is a happy number.

1042242304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1143609 + ... + 1144519.

It is an arithmetic number, because the mean of its divisors is an integer number (29903720).

Almost surely, 21042242304 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 1042242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076533920).

1042242304 is an abundant number, since it is smaller than the sum of its proper divisors (1110825536).

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

1042242304 is an equidigital number, since it uses as much as digits as its factorization.

1042242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1042242304 is about 32283.7777219457. Note that the first 4 decimals coincide. The cubic root of 1042242304 is about 1013.8870258122.

Adding to 1042242304 its reverse (4032422401), we get a palindrome (5074664705).

The spelling of 1042242304 in words is "one billion, forty-two million, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 41 64 82 109 128 164 218 256 328 436 656 872 911 1312 1744 1822 2624 3488 3644 4469 5248 6976 7288 8938 10496 13952 14576 17876 27904 29152 35752 37351 58304 71504 74702 99299 116608 143008 149404 198598 233216 286016 298808 397196 572032 597616 794392 1144064 1195232 1588784 2390464 3177568 4071259 4780928 6355136 8142518 9561856 12710272 16285036 25420544 32570072 65140144 130280288 260560576 521121152 1042242304