Search a number
-
+
1349781328 = 24791113229
BaseRepresentation
bin101000001110100…
…0000011101010000
310111001211222220001
41100131000131100
510231021000303
6341534255344
745306644350
oct12035003520
93431758801
101349781328
11632a09765
12318057554
1318684799c
14cb39cb60
157d77531d
hex50740750

1349781328 has 40 divisors (see below), whose sum is σ = 2992308480. Its totient is φ = 577799040.

The previous prime is 1349781311. The next prime is 1349781331. The reversal of 1349781328 is 8231879431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95418 + ... + 108646.

It is an arithmetic number, because the mean of its divisors is an integer number (74807712).

Almost surely, 21349781328 is an apocalyptic number.

It is an amenable number.

1349781328 is an abundant number, since it is smaller than the sum of its proper divisors (1642527152).

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

1349781328 is a wasteful number, since it uses less digits than its factorization.

1349781328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14155 (or 14149 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The square root of 1349781328 is about 36739.3702722298. The cubic root of 1349781328 is about 1105.1497727005.

The spelling of 1349781328 in words is "one billion, three hundred forty-nine million, seven hundred eighty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 911 1822 3644 6377 7288 12754 13229 14576 25508 26458 51016 52916 92603 102032 105832 185206 211664 370412 740824 1481648 12051619 24103238 48206476 84361333 96412952 168722666 192825904 337445332 674890664 1349781328