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1330382448 = 243311327253
BaseRepresentation
bin100111101001100…
…0000011001110000
310102201100102122000
41033103000121300
510211034214243
6340002414000
744653031013
oct11723003160
93381312560
101330382448
11622a6a02a
12311661300
13182815065
14c898d37a
157bbe25d3
hex4f4c0670

1330382448 has 80 divisors (see below), whose sum is σ = 3852625440. Its totient is φ = 439520256.

The previous prime is 1330382437. The next prime is 1330382479. The reversal of 1330382448 is 8442830331.

It is a happy number.

1330382448 is a `hidden beast` number, since 133 + 0 + 3 + 82 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 35190 + ... + 62442.

It is an arithmetic number, because the mean of its divisors is an integer number (48157818).

Almost surely, 21330382448 is an apocalyptic number.

1330382448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330382448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926312720).

1330382448 is an abundant number, since it is smaller than the sum of its proper divisors (2522242992).

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

1330382448 is a wasteful number, since it uses less digits than its factorization.

1330382448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27383 (or 27371 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1330382448 is about 36474.4081240532. The cubic root of 1330382448 is about 1099.8298491641.

The spelling of 1330382448 in words is "one billion, three hundred thirty million, three hundred eighty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 113 144 216 226 339 432 452 678 904 1017 1356 1808 2034 2712 3051 4068 5424 6102 8136 12204 16272 24408 27253 48816 54506 81759 109012 163518 218024 245277 327036 436048 490554 654072 735831 981108 1308144 1471662 1962216 2943324 3079589 3924432 5886648 6159178 9238767 11773296 12318356 18477534 24636712 27716301 36955068 49273424 55432602 73910136 83148903 110865204 147820272 166297806 221730408 332595612 443460816 665191224 1330382448