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1330041344 = 2919472909
BaseRepresentation
bin100111101000110…
…1101001000000000
310102200201002201112
41033101231020000
510210442310334
6335551222452
744650110362
oct11721551000
93380632645
101330041344
11622856825
12311517a28
13182725a18
14c8900d32
157bb764ce
hex4f46d200

1330041344 has 80 divisors (see below), whose sum is σ = 2857852800. Its totient is φ = 616402944.

The previous prime is 1330041313. The next prime is 1330041379. The reversal of 1330041344 is 4431400331.

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, 455762 + ... + 458670.

It is an arithmetic number, because the mean of its divisors is an integer number (35723160).

Almost surely, 21330041344 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 1330041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428926400).

1330041344 is an abundant number, since it is smaller than the sum of its proper divisors (1527811456).

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

1330041344 is an equidigital number, since it uses as much as digits as its factorization.

1330041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 1330041344 is about 36469.7318882385. The cubic root of 1330041344 is about 1099.7358440082.

Adding to 1330041344 its reverse (4431400331), we get a palindrome (5761441675).

The spelling of 1330041344 in words is "one billion, three hundred thirty million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 47 64 76 94 128 152 188 256 304 376 512 608 752 893 1216 1504 1786 2432 2909 3008 3572 4864 5818 6016 7144 9728 11636 12032 14288 23272 24064 28576 46544 55271 57152 93088 110542 114304 136723 186176 221084 228608 273446 372352 442168 457216 546892 744704 884336 1093784 1489408 1768672 2187568 2597737 3537344 4375136 5195474 7074688 8750272 10390948 14149376 17500544 20781896 28298752 35001088 41563792 70002176 83127584 166255168 332510336 665020672 1330041344