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1031244004 = 2272171731789
BaseRepresentation
bin111101011101111…
…000100011100100
32122212110121211101
4331131320203210
54102444302004
6250155045444
734361300200
oct7535704344
92585417741
101031244004
1148a12397a
12249440884
1313585946b
149ad61b00
1560803ba4
hex3d7788e4

1031244004 has 72 divisors (see below), whose sum is σ = 2236905720. Its totient is φ = 413328384.

The previous prime is 1031243951. The next prime is 1031244023. The reversal of 1031244004 is 4004421301.

It can be written as a sum of positive squares in 4 ways, for example, as 780084900 + 251159104 = 27930^2 + 15848^2 .

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 23 ways as a sum of consecutive naturals, for example, 575542 + ... + 577330.

It is an arithmetic number, because the mean of its divisors is an integer number (31068135).

Almost surely, 21031244004 is an apocalyptic number.

1031244004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031244004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118452860).

1031244004 is an abundant number, since it is smaller than the sum of its proper divisors (1205661716).

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

1031244004 is a wasteful number, since it uses less digits than its factorization.

1031244004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1031244004 is about 32112.9880889337. The cubic root of 1031244004 is about 1010.3080470689.

Adding to 1031244004 its reverse (4004421301), we get a palindrome (5035665305).

The spelling of 1031244004 in words is "one billion, thirty-one million, two hundred forty-four thousand, four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 173 196 238 346 476 692 833 1211 1666 1789 2422 2941 3332 3578 4844 5882 7156 8477 11764 12523 16954 20587 25046 30413 33908 41174 50092 60826 82348 87661 121652 144109 175322 212891 288218 309497 350644 425782 576436 618994 851564 1237988 1490237 2166479 2980474 4332958 5261449 5960948 8665916 10522898 15165353 21045796 30330706 36830143 60661412 73660286 147320572 257811001 515622002 1031244004