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1034065326 = 237223314933
BaseRepresentation
bin111101101000101…
…001010110101110
32200001202221221210
4331220221112232
54104210042301
6250335335250
734424260500
oct7550512656
92601687853
101034065326
11490780648
1224a381526
13136306698
149b497d70
1560baead6
hex3da295ae

1034065326 has 96 divisors (see below), whose sum is σ = 2591889408. Its totient is φ = 273430080.

The previous prime is 1034065313. The next prime is 1034065327. The reversal of 1034065326 is 6235604301.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1034065293 and 1034065302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034065327) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 207156 + ... + 212088.

It is an arithmetic number, because the mean of its divisors is an integer number (26998848).

Almost surely, 21034065326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034065326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295944704).

1034065326 is an abundant number, since it is smaller than the sum of its proper divisors (1557824082).

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

1034065326 is a wasteful number, since it uses less digits than its factorization.

1034065326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 1034065326 is about 32156.8861365649. The cubic root of 1034065326 is about 1011.2285562897.

Adding to 1034065326 its reverse (6235604301), we get a palindrome (7269669627).

The spelling of 1034065326 in words is "one billion, thirty-four million, sixty-five thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 23 31 42 46 49 62 69 93 98 138 147 161 186 217 294 322 434 483 651 713 966 1127 1302 1426 1519 2139 2254 3038 3381 4278 4557 4933 4991 6762 9114 9866 9982 14799 14973 29598 29946 34531 34937 69062 69874 103593 104811 113459 152923 207186 209622 226918 241717 305846 340377 458769 483434 680754 725151 794213 917538 1070461 1450302 1588426 2140922 2382639 3211383 3517229 4765278 5559491 6422766 7034458 7493227 10551687 11118982 14986454 16678473 21103374 22479681 24620603 33356946 44959362 49241206 73861809 147723618 172344221 344688442 517032663 1034065326