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1130338608 = 243712726489
BaseRepresentation
bin100001101011111…
…1001100100110000
32220202221011001220
41003113321210300
54303331313413
6304055025040
740003501560
oct10327714460
92822834056
101130338608
11530057143
1227666b180
13150243b19
14aa198da0
156937a223
hex435f9930

1130338608 has 80 divisors (see below), whose sum is σ = 3363594240. Its totient is φ = 320398848.

The previous prime is 1130338607. The next prime is 1130338621. The reversal of 1130338608 is 8068330311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1130338603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29428 + ... + 55916.

It is an arithmetic number, because the mean of its divisors is an integer number (42044928).

Almost surely, 21130338608 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 1130338608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681797120).

1130338608 is an abundant number, since it is smaller than the sum of its proper divisors (2233255632).

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

1130338608 is a wasteful number, since it uses less digits than its factorization.

1130338608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26634 (or 26628 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1130338608 is about 33620.5087409456. The cubic root of 1130338608 is about 1041.6844645179.

Adding to 1130338608 its reverse (8068330311), we get a palindrome (9198668919).

The spelling of 1130338608 in words is "one billion, one hundred thirty million, three hundred thirty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 336 381 508 762 889 1016 1524 1778 2032 2667 3048 3556 5334 6096 7112 10668 14224 21336 26489 42672 52978 79467 105956 158934 185423 211912 317868 370846 423824 556269 635736 741692 1112538 1271472 1483384 2225076 2966768 3364103 4450152 6728206 8900304 10092309 13456412 20184618 23548721 26912824 40369236 47097442 53825648 70646163 80738472 94194884 141292326 161476944 188389768 282584652 376779536 565169304 1130338608