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1320309408 = 25311310333
BaseRepresentation
bin100111010110010…
…0101001010100000
310102000101200000110
41032230211022200
510200444400113
6335002451320
744501305365
oct11654451240
93360350013
101320309408
1161830a000
1230a203b40
131806c9192
14c74ca46c
157ada2bc3
hex4eb252a0

1320309408 has 96 divisors (see below), whose sum is σ = 3812501952. Its totient is φ = 400055040.

The previous prime is 1320309379. The next prime is 1320309427. The reversal of 1320309408 is 8049030231.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 122610 + ... + 132942.

It is an arithmetic number, because the mean of its divisors is an integer number (39713562).

Almost surely, 21320309408 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 1320309408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906250976).

1320309408 is an abundant number, since it is smaller than the sum of its proper divisors (2492192544).

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

1320309408 is a wasteful number, since it uses less digits than its factorization.

1320309408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10379 (or 10349 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1320309408 is about 36336.0620871332. The cubic root of 1320309408 is about 1097.0470130344.

Adding to 1320309408 its reverse (8049030231), we get a palindrome (9369339639).

The spelling of 1320309408 in words is "one billion, three hundred twenty million, three hundred nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1331 1452 1936 2662 2904 3872 3993 5324 5808 7986 10333 10648 11616 15972 20666 21296 30999 31944 41332 42592 61998 63888 82664 113663 123996 127776 165328 227326 247992 330656 340989 454652 495984 681978 909304 991968 1250293 1363956 1818608 2500586 2727912 3637216 3750879 5001172 5455824 7501758 10002344 10911648 13753223 15003516 20004688 27506446 30007032 40009376 41259669 55012892 60014064 82519338 110025784 120028128 165038676 220051568 330077352 440103136 660154704 1320309408