Search a number
-
+
1001234344 = 231122344971
BaseRepresentation
bin111011101011011…
…001111110101000
32120202222222022111
4323223121332220
54022303444334
6243203532104
733545231365
oct7353317650
92522888274
101001234344
11474197200
1223b38a034
1312c57cc76
1496d8d46c
155cd77064
hex3bad9fa8

1001234344 has 48 divisors (see below), whose sum is σ = 2153259360. Its totient is φ = 435309600.

The previous prime is 1001234293. The next prime is 1001234371. The reversal of 1001234344 is 4434321001.

It is a super-2 number, since 2×10012343442 = 2004940423210220672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222 + ... + 44749.

It is an arithmetic number, because the mean of its divisors is an integer number (44859570).

Almost surely, 21001234344 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 1001234344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076629680).

1001234344 is an abundant number, since it is smaller than the sum of its proper divisors (1152025016).

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

1001234344 is a wasteful number, since it uses less digits than its factorization.

1001234344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45022 (or 45007 counting only the distinct ones).

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

The square root of 1001234344 is about 31642.2872751007. The cubic root of 1001234344 is about 1000.4112788265.

Adding to 1001234344 its reverse (4434321001), we get a palindrome (5435555345).

The spelling of 1001234344 in words is "one billion, one million, two hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 121 184 242 253 484 506 968 1012 2024 2783 5566 11132 22264 44971 89942 179884 359768 494681 989362 1034333 1978724 2068666 3957448 4137332 5441491 8274664 10882982 11377663 21765964 22755326 43531928 45510652 91021304 125154293 250308586 500617172 1001234344