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10034012340 = 223251117298099
BaseRepresentation
bin10010101100001001…
…01110000010110100
3221220021202122021200
421112010232002310
5131022201343330
64335355412500
7503436461202
oct112604560264
927807678250
1010034012340
114289a35a90
121b40454130
13c3ba68811
146b2898072
153dad7aa60
hex25612e0b4

10034012340 has 144 divisors (see below), whose sum is σ = 35156721600. Its totient is φ = 2289392640.

The previous prime is 10034012291. The next prime is 10034012341. The reversal of 10034012340 is 4321043001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034012341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115390 + ... + 182709.

It is an arithmetic number, because the mean of its divisors is an integer number (244143900).

Almost surely, 210034012340 is an apocalyptic number.

10034012340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10034012340 is an abundant number, since it is smaller than the sum of its proper divisors (25122709260).

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

10034012340 is a wasteful number, since it uses less digits than its factorization.

10034012340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298142 (or 298137 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10034012340 its reverse (4321043001), we get a palindrome (14355055341).

The spelling of 10034012340 in words is "ten billion, thirty-four million, twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6732 8415 11220 16830 33660 298099 596198 894297 1192396 1490495 1788594 2682891 2980990 3279089 3577188 4471485 5067683 5365782 5961980 6558178 8942970 9837267 10135366 10731564 13116356 13414455 15203049 16395445 17885940 19674534 20270732 25338415 26828910 29511801 30406098 32790890 39349068 45609147 49186335 50676830 53657820 55744513 59023602 60812196 65581780 76015245 91218294 98372670 101353660 111489026 118047204 147559005 152030490 167233539 182436588 196745340 222978052 228045735 278722565 295118010 304060980 334467078 456091470 501700617 557445130 590236020 668934156 836167695 912182940 1003401234 1114890260 1672335390 2006802468 2508503085 3344670780 5017006170 10034012340