Search a number
-
+
1004144334 = 232414671487
BaseRepresentation
bin111011110110100…
…000011011001110
32120222110211001220
4323312200123032
54024030104314
6243350144210
733612041334
oct7366403316
92528424056
101004144334
114758a4556
12240352066
1313005b65b
1497509b54
155d24e3a9
hex3bda06ce

1004144334 has 32 divisors (see below), whose sum is σ = 2022299136. Its totient is φ = 332388480.

The previous prime is 1004144333. The next prime is 1004144341. The reversal of 1004144334 is 4334414001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004144333) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 674539 + ... + 676025.

It is an arithmetic number, because the mean of its divisors is an integer number (63196848).

Almost surely, 21004144334 is an apocalyptic number.

1004144334 is an abundant number, since it is smaller than the sum of its proper divisors (1018154802).

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

1004144334 is a wasteful number, since it uses less digits than its factorization.

1004144334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200.

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

The square root of 1004144334 is about 31688.2365239847. The cubic root of 1004144334 is about 1001.3795406591.

Adding to 1004144334 its reverse (4334414001), we get a palindrome (5338558335).

The spelling of 1004144334 in words is "one billion, four million, one hundred forty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 241 467 482 723 934 1401 1446 1487 2802 2974 4461 8922 112547 225094 337641 358367 675282 694429 716734 1075101 1388858 2083287 2150202 4166574 167357389 334714778 502072167 1004144334