Search a number
-
+
1338491904 = 21034110627
BaseRepresentation
bin100111111000111…
…1100010000000000
310110021121102201020
41033301330100000
510220123220104
6340452305440
745111664521
oct11761742000
93407542636
101338491904
116275a8862
12314312280
131843c4259
14c9aa0848
157c7952d9
hex4fc7c400

1338491904 has 88 divisors (see below), whose sum is σ = 3654926688. Its totient is φ = 435240960.

The previous prime is 1338491873. The next prime is 1338491911. The reversal of 1338491904 is 4091948331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120639 + ... + 131265.

Almost surely, 21338491904 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 1338491904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827463344).

1338491904 is an abundant number, since it is smaller than the sum of its proper divisors (2316434784).

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

1338491904 is a wasteful number, since it uses less digits than its factorization.

1338491904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10691 (or 10673 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 1338491904 is about 36585.4056148077. The cubic root of 1338491904 is about 1102.0600250790.

The spelling of 1338491904 in words is "one billion, three hundred thirty-eight million, four hundred ninety-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1024 1312 1536 1968 2624 3072 3936 5248 7872 10496 10627 15744 20992 21254 31488 31881 41984 42508 62976 63762 85016 125952 127524 170032 255048 340064 435707 510096 680128 871414 1020192 1307121 1360256 1742828 2040384 2614242 2720512 3485656 4080768 5228484 5441024 6971312 8161536 10456968 10882048 13942624 16323072 20913936 27885248 32646144 41827872 55770496 83655744 111540992 167311488 223081984 334622976 446163968 669245952 1338491904