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1045142304 = 25310886899
BaseRepresentation
bin111110010010111…
…001101100100000
32200211121201201020
4332102321230200
54120024023204
6251413005440
734620364053
oct7622715440
92624551636
101045142304
11496a56978
12252023880
131386b44cb
149cb3ca9a
1561b4bbd9
hex3e4b9b20

1045142304 has 24 divisors (see below), whose sum is σ = 2743498800. Its totient is φ = 348380736.

The previous prime is 1045142297. The next prime is 1045142321. The reversal of 1045142304 is 4032415401.

1045142304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10451423042 = 2184644871220856832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5443354 + ... + 5443545.

It is an arithmetic number, because the mean of its divisors is an integer number (114312450).

Almost surely, 21045142304 is an apocalyptic number.

It is an amenable number.

1045142304 is an abundant number, since it is smaller than the sum of its proper divisors (1698356496).

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

1045142304 is a wasteful number, since it uses less digits than its factorization.

1045142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10886912 (or 10886904 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1045142304 is about 32328.6607207908. The cubic root of 1045142304 is about 1014.8265224806.

Adding to 1045142304 its reverse (4032415401), we get a palindrome (5077557705).

The spelling of 1045142304 in words is "one billion, forty-five million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 10886899 21773798 32660697 43547596 65321394 87095192 130642788 174190384 261285576 348380768 522571152 1045142304