Search a number
-
+
1144030432 = 251910391811
BaseRepresentation
bin100010000110000…
…1000010011100000
32221201200202201111
41010030020103200
54320332433212
6305304313104
740231045456
oct10414102340
92851622644
101144030432
11537858aa6
1227b172794
13153028bac
14abd209d6
156a681ea7
hex443084e0

1144030432 has 48 divisors (see below), whose sum is σ = 2374444800. Its totient is φ = 541088640.

The previous prime is 1144030429. The next prime is 1144030441. The reversal of 1144030432 is 2340304411.

It is a congruent number.

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, 630807 + ... + 632617.

It is an arithmetic number, because the mean of its divisors is an integer number (49467600).

Almost surely, 21144030432 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 1144030432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187222400).

1144030432 is an abundant number, since it is smaller than the sum of its proper divisors (1230414368).

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

1144030432 is a wasteful number, since it uses less digits than its factorization.

1144030432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1144030432 is about 33823.5189180546. The cubic root of 1144030432 is about 1045.8735800867.

Adding to 1144030432 its reverse (2340304411), we get a palindrome (3484334843).

The spelling of 1144030432 in words is "one billion, one hundred forty-four million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 1039 1811 2078 3622 4156 7244 8312 14488 16624 19741 28976 33248 34409 39482 57952 68818 78964 137636 157928 275272 315856 550544 631712 1101088 1881629 3763258 7526516 15053032 30106064 35750951 60212128 71501902 143003804 286007608 572015216 1144030432