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1930266304 = 261072511123
BaseRepresentation
bin111001100001101…
…1000011011000000
311222112010200120121
41303003120123000
512423122010204
6515312150024
765555664361
oct16303303300
94875120517
101930266304
1190064870a
1245a538314
13249b9cb15
14144505b68
15b46dab54
hex730d86c0

1930266304 has 56 divisors (see below), whose sum is σ = 3885029568. Its totient is φ = 951456000.

The previous prime is 1930266281. The next prime is 1930266311. The reversal of 1930266304 is 4036620391.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1930266304.

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 7 ways as a sum of consecutive naturals, for example, 1718287 + ... + 1719409.

It is an arithmetic number, because the mean of its divisors is an integer number (69375528).

Almost surely, 21930266304 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 1930266304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942514784).

1930266304 is an abundant number, since it is smaller than the sum of its proper divisors (1954763264).

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

1930266304 is a wasteful number, since it uses less digits than its factorization.

1930266304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 1930266304 is about 43934.7960505110. The cubic root of 1930266304 is about 1245.1043291442.

Adding to 1930266304 its reverse (4036620391), we get a palindrome (5966886695).

The spelling of 1930266304 in words is "one billion, nine hundred thirty million, two hundred sixty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 107 214 251 428 502 856 1004 1123 1712 2008 2246 3424 4016 4492 6848 8032 8984 16064 17968 26857 35936 53714 71872 107428 120161 214856 240322 281873 429712 480644 563746 859424 961288 1127492 1718848 1922576 2254984 3845152 4509968 7690304 9019936 18039872 30160411 60320822 120641644 241283288 482566576 965133152 1930266304