Search a number
-
+
1005442344 = 2332314110987
BaseRepresentation
bin111011111011011…
…101010100101000
32121001220202121100
4323323131110220
54024343123334
6243434041400
733626055534
oct7373352450
92531822540
101005442344
11476600795
12240879260
131303c43ca
1497766bc4
155d408c99
hex3bedd528

1005442344 has 96 divisors (see below), whose sum is σ = 2879735040. Its totient is φ = 316396800.

The previous prime is 1005442343. The next prime is 1005442351. The reversal of 1005442344 is 4432445001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1005442343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86019 + ... + 97005.

It is an arithmetic number, because the mean of its divisors is an integer number (29997240).

Almost surely, 21005442344 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 1005442344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439867520).

1005442344 is an abundant number, since it is smaller than the sum of its proper divisors (1874292696).

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

1005442344 is a wasteful number, since it uses less digits than its factorization.

1005442344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11071 (or 11064 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1005442344 is about 31708.7108536440. The cubic root of 1005442344 is about 1001.8108335691.

Adding to 1005442344 its reverse (4432445001), we get a palindrome (5437887345).

The spelling of 1005442344 in words is "one billion, five million, four hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 41 62 72 82 93 123 124 164 186 246 248 279 328 369 372 492 558 738 744 984 1116 1271 1476 2232 2542 2952 3813 5084 7626 10168 10987 11439 15252 21974 22878 30504 32961 43948 45756 65922 87896 91512 98883 131844 197766 263688 340597 395532 450467 681194 791064 900934 1021791 1351401 1362388 1801868 2043582 2702802 2724776 3065373 3603736 4054203 4087164 5405604 6130746 8108406 8174328 10811208 12261492 13964477 16216812 24522984 27928954 32433624 41893431 55857908 83786862 111715816 125680293 167573724 251360586 335147448 502721172 1005442344