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1043042304 = 2123292927
BaseRepresentation
bin111110001010111…
…001000000000000
32200200200001001110
4332022321000000
54114004323204
6251300003320
734563466443
oct7612710000
92620601043
101043042304
11495852137
12251390540
1313812a6c5
149c75365a
1561884889
hex3e2b9000

1043042304 has 104 divisors (see below), whose sum is σ = 2877989760. Its totient is φ = 335577088.

The previous prime is 1043042281. The next prime is 1043042311. The reversal of 1043042304 is 4032403401.

It is a super-3 number, since 3×10430423043 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 354889 + ... + 357815.

Almost surely, 21043042304 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 1043042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438994880).

1043042304 is an abundant number, since it is smaller than the sum of its proper divisors (1834947456).

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

1043042304 is an equidigital number, since it uses as much as digits as its factorization.

1043042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1043042304 is about 32296.1654689841. The cubic root of 1043042304 is about 1014.1463711923.

Adding to 1043042304 its reverse (4032403401), we get a palindrome (5075445705).

The spelling of 1043042304 in words is "one billion, forty-three million, forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2048 2784 2927 3072 3712 4096 5568 5854 6144 7424 8781 11136 11708 12288 14848 17562 22272 23416 29696 35124 44544 46832 59392 70248 84883 89088 93664 118784 140496 169766 178176 187328 254649 280992 339532 356352 374656 509298 561984 679064 749312 1018596 1123968 1358128 1498624 2037192 2247936 2716256 2997248 4074384 4495872 5432512 5994496 8148768 8991744 10865024 11988992 16297536 17983488 21730048 32595072 35966976 43460096 65190144 86920192 130380288 173840384 260760576 347680768 521521152 1043042304