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2134041324 = 2234361151449
BaseRepresentation
bin111111100110010…
…1110001011101100
312111201120112100120
41333030232023230
513332303310244
6551431524540
7103612023552
oct17714561354
95451515316
102134041324
119a5679918
124b6829750
1328017945c
141635cbbd2
15c753d819
hex7f32e2ec

2134041324 has 96 divisors (see below), whose sum is σ = 5224665600. Its totient is φ = 677376000.

The previous prime is 2134041323. The next prime is 2134041353. The reversal of 2134041324 is 4231404312.

It is a junction number, because it is equal to n+sod(n) for n = 2134041294 and 2134041303.

It is not an unprimeable number, because it can be changed into a prime (2134041323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4752652 + ... + 4753100.

It is an arithmetic number, because the mean of its divisors is an integer number (54423600).

Almost surely, 22134041324 is an apocalyptic number.

It is an amenable number.

2134041324 is an abundant number, since it is smaller than the sum of its proper divisors (3090624276).

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

2134041324 is a wasteful number, since it uses less digits than its factorization.

2134041324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2134041324 is about 46195.6851231801. The cubic root of 2134041324 is about 1287.4615715303.

Adding to 2134041324 its reverse (4231404312), we get a palindrome (6365445636).

The spelling of 2134041324 in words is "two billion, one hundred thirty-four million, forty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 43 61 86 122 129 151 172 183 244 258 302 366 449 453 516 604 732 898 906 1347 1796 1812 2623 2694 5246 5388 6493 7869 9211 10492 12986 15738 18422 19307 19479 25972 27389 27633 31476 36844 38614 38958 54778 55266 57921 67799 77228 77916 82167 109556 110532 115842 135598 164334 203397 231684 271196 328668 396073 406794 792146 813588 1177727 1188219 1584292 2355454 2376438 2915357 3533181 4135739 4710908 4752876 5830714 7066362 8271478 8746071 11661428 12407217 14132724 16542956 17492142 24814434 34984284 49628868 177836777 355673554 533510331 711347108 1067020662 2134041324