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1319384704 = 27114492087
BaseRepresentation
bin100111010100100…
…0011011010000000
310101221122200120011
41032221003122000
510200230302304
6334530554304
744460404431
oct11651033200
93357580504
101319384704
11617838290
12309a38994
13180464311
14c7329488
157ac6dc04
hex4ea43680

1319384704 has 64 divisors (see below), whose sum is σ = 2875176000. Its totient is φ = 598097920.

The previous prime is 1319384701. The next prime is 1319384711. The reversal of 1319384704 is 4074839131.

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

It is not an unprimeable number, because it can be changed into a prime (1319384701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 631149 + ... + 633235.

It is an arithmetic number, because the mean of its divisors is an integer number (44924625).

Almost surely, 21319384704 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 1319384704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437588000).

1319384704 is an abundant number, since it is smaller than the sum of its proper divisors (1555791296).

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

1319384704 is a wasteful number, since it uses less digits than its factorization.

1319384704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 1319384704 is about 36323.3355296564. The cubic root of 1319384704 is about 1096.7908405858.

The spelling of 1319384704 in words is "one billion, three hundred nineteen million, three hundred eighty-four thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 449 704 898 1408 1796 2087 3592 4174 4939 7184 8348 9878 14368 16696 19756 22957 28736 33392 39512 45914 57472 66784 79024 91828 133568 158048 183656 267136 316096 367312 632192 734624 937063 1469248 1874126 2938496 3748252 7496504 10307693 14993008 20615386 29986016 41230772 59972032 82461544 119944064 164923088 329846176 659692352 1319384704