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1919234304 = 28331323153
BaseRepresentation
bin111001001100101…
…0011000100000000
311221202101012112000
41302121103010000
512412310444204
6514235504000
765363136201
oct16231230400
94852335460
101919234304
118a53a3159
124568b8000
13247809600
14142c735a8
15b375c039
hex72653100

1919234304 has 432 divisors, whose sum is σ = 6463618560. Its totient is φ = 560701440.

The previous prime is 1919234293. The next prime is 1919234309. The reversal of 1919234304 is 4034329191.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (1919234309) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 36211942 + ... + 36211994.

It is an arithmetic number, because the mean of its divisors is an integer number (14962080).

Almost surely, 21919234304 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 1919234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231809280).

1919234304 is an abundant number, since it is smaller than the sum of its proper divisors (4544384256).

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

1919234304 is a wasteful number, since it uses less digits than its factorization.

1919234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1919234304 is about 43809.0664588964. The cubic root of 1919234304 is about 1242.7277585034.

The spelling of 1919234304 in words is "one billion, nine hundred nineteen million, two hundred thirty-four thousand, three hundred four".