Search a number
-
+
1044116232 = 2332910913763
BaseRepresentation
bin111110001110111…
…111001100001000
32200202200121012120
4332032333030020
54114243204412
6251335011240
734605561435
oct7616771410
92622617176
101044116232
11496415a85
12251809b20
13138415473
149c952b8c
15619e7b8c
hex3e3bf308

1044116232 has 64 divisors (see below), whose sum is σ = 2725272000. Its totient is φ = 332930304.

The previous prime is 1044116221. The next prime is 1044116263. The reversal of 1044116232 is 2326114401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 68983 + ... + 82745.

It is an arithmetic number, because the mean of its divisors is an integer number (42582375).

Almost surely, 21044116232 is an apocalyptic number.

1044116232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044116232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362636000).

1044116232 is an abundant number, since it is smaller than the sum of its proper divisors (1681155768).

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

1044116232 is a wasteful number, since it uses less digits than its factorization.

1044116232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13910 (or 13906 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1044116232 is about 32312.7874377931. The cubic root of 1044116232 is about 1014.4943106139.

The spelling of 1044116232 in words is "one billion, forty-four million, one hundred sixteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 109 116 174 218 232 327 348 436 654 696 872 1308 2616 3161 6322 9483 12644 13763 18966 25288 27526 37932 41289 55052 75864 82578 110104 165156 330312 399127 798254 1197381 1500167 1596508 2394762 3000334 3193016 4500501 4789524 6000668 9001002 9579048 12001336 18002004 36004008 43504843 87009686 130514529 174019372 261029058 348038744 522058116 1044116232