Search a number
-
+
1023023034 = 234113171811
BaseRepresentation
bin111100111110100…
…001011110111010
32122021222221210000
4330332201132322
54043343214114
6245302533430
734231360305
oct7476413672
92567887700
101023023034
11485519390
12246737276
13133c3b597
1499c21b3c
155ec2ce09
hex3cfa17ba

1023023034 has 80 divisors (see below), whose sum is σ = 2509996896. Its totient is φ = 308858400.

The previous prime is 1023023011. The next prime is 1023023051. The reversal of 1023023034 is 4303203201.

It is a super-2 number, since 2×10230230342 = 2093152256189130312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1023022998 and 1023023016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 563989 + ... + 565799.

Almost surely, 21023023034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023023034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254998448).

1023023034 is an abundant number, since it is smaller than the sum of its proper divisors (1486973862).

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

1023023034 is a wasteful number, since it uses less digits than its factorization.

1023023034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1023023034 is about 31984.7312635264. The cubic root of 1023023034 is about 1007.6161910382.

Adding to 1023023034 its reverse (4303203201), we get a palindrome (5326226235).

The spelling of 1023023034 in words is "one billion, twenty-three million, twenty-three thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 317 594 634 891 951 1782 1811 1902 2853 3487 3622 5433 5706 6974 8559 10461 10866 16299 17118 19921 20922 25677 31383 32598 39842 48897 51354 59763 62766 94149 97794 119526 146691 179289 188298 282447 293382 358578 537867 564894 574087 1075734 1148174 1613601 1722261 3227202 3444522 5166783 6314957 10333566 12629914 15500349 18944871 31000698 37889742 46501047 56834613 93002094 113669226 170503839 341007678 511511517 1023023034