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1354441344 = 27322315817
BaseRepresentation
bin101000010111011…
…0010001010000000
310111101121202020020
41100232302022000
510233214110334
6342222213440
745364363404
oct12056621200
93441552206
101354441344
11635601913
12319724280
131877b9aa9
14cbc53104
157dd95e49
hex50bb2280

1354441344 has 64 divisors (see below), whose sum is σ = 3614096640. Its totient is φ = 449427456.

The previous prime is 1354441337. The next prime is 1354441379. The reversal of 1354441344 is 4431444531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×13544413442 = 3669022708673052672, which contains 22 as substring.

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, 77724 + ... + 93540.

It is an arithmetic number, because the mean of its divisors is an integer number (56470260).

Almost surely, 21354441344 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 1354441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807048320).

1354441344 is an abundant number, since it is smaller than the sum of its proper divisors (2259655296).

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

1354441344 is a wasteful number, since it uses less digits than its factorization.

1354441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16057 (or 16045 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 1354441344 is about 36802.7355504995. The cubic root of 1354441344 is about 1106.4201266906.

Adding to 1354441344 its reverse (4431444531), we get a palindrome (5785885875).

The spelling of 1354441344 in words is "one billion, three hundred fifty-four million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 384 446 669 892 1338 1784 2676 3568 5352 7136 10704 14272 15817 21408 28544 31634 42816 47451 63268 85632 94902 126536 189804 253072 379608 506144 759216 1012288 1518432 2024576 3036864 3527191 6073728 7054382 10581573 14108764 21163146 28217528 42326292 56435056 84652584 112870112 169305168 225740224 338610336 451480448 677220672 1354441344