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1304094384 = 24339731121
BaseRepresentation
bin100110110111010…
…1110011010110000
310100212212212012000
41031232232122300
510132322010014
6333223134000
744213422305
oct11556563260
93325785160
101304094384
1160a14445a
123048a4300
1317a23c7a8
14c52a90ac
157974d509
hex4dbae6b0

1304094384 has 80 divisors (see below), whose sum is σ = 3781945440. Its totient is φ = 430202880.

The previous prime is 1304094349. The next prime is 1304094401. The reversal of 1304094384 is 4834904031.

1304094384 is a `hidden beast` number, since 130 + 409 + 43 + 84 = 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26344 + ... + 57464.

It is an arithmetic number, because the mean of its divisors is an integer number (47274318).

Almost surely, 21304094384 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 1304094384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890972720).

1304094384 is an abundant number, since it is smaller than the sum of its proper divisors (2477851056).

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

1304094384 is a wasteful number, since it uses less digits than its factorization.

1304094384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31235 (or 31223 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1304094384 is about 36112.2470084596. The cubic root of 1304094384 is about 1092.5374724059.

The spelling of 1304094384 in words is "one billion, three hundred four million, ninety-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 97 108 144 194 216 291 388 432 582 776 873 1164 1552 1746 2328 2619 3492 4656 5238 6984 10476 13968 20952 31121 41904 62242 93363 124484 186726 248968 280089 373452 497936 560178 746904 840267 1120356 1493808 1680534 2240712 3018737 3361068 4481424 6037474 6722136 9056211 12074948 13444272 18112422 24149896 27168633 36224844 48299792 54337266 72449688 81505899 108674532 144899376 163011798 217349064 326023596 434698128 652047192 1304094384