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2051432334 = 2327229139577
BaseRepresentation
bin111101001000110…
…0101111110001110
312021222010120010100
41322101211332032
513200131313314
6535321151530
7101556613200
oct17221457616
95258116110
102051432334
11962a86526
1249302b5a6
132690146b3
14156646770
15c0171c09
hex7a465f8e

2051432334 has 144 divisors (see below), whose sum is σ = 5396554800. Its totient is φ = 560867328.

The previous prime is 2051432333. The next prime is 2051432377. The reversal of 2051432334 is 4332341502.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2051432298 and 2051432307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051432333) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3555054 + ... + 3555630.

It is an arithmetic number, because the mean of its divisors is an integer number (37476075).

Almost surely, 22051432334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2051432334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698277400).

2051432334 is an abundant number, since it is smaller than the sum of its proper divisors (3345122466).

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

2051432334 is a wasteful number, since it uses less digits than its factorization.

2051432334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2051432334 is about 45292.7404116819. The cubic root of 2051432334 is about 1270.6298844970.

Adding to 2051432334 its reverse (4332341502), we get a palindrome (6383773836).

The spelling of 2051432334 in words is "two billion, fifty-one million, four hundred thirty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 49 58 63 87 98 126 139 147 174 203 261 278 294 406 417 441 522 577 609 834 882 973 1154 1218 1251 1421 1731 1827 1946 2502 2842 2919 3462 3654 4031 4039 4263 5193 5838 6811 8062 8078 8526 8757 10386 12093 12117 12789 13622 16733 17514 20433 24186 24234 25578 28217 28273 33466 36279 36351 40866 50199 56434 56546 61299 72558 72702 80203 84651 84819 100398 117131 122598 150597 160406 169302 169638 197519 234262 240609 253953 254457 301194 351393 395038 481218 507906 508914 561421 592557 702786 721827 819917 1054179 1122842 1185114 1443654 1639834 1684263 1777671 2108358 2325887 2459751 3368526 3555342 3929947 4651774 4919502 5052789 6977661 7379253 7859894 10105578 11789841 13955322 14758506 16281209 20932983 23579682 32562418 35369523 41865966 48843627 70739046 97687254 113968463 146530881 227936926 293061762 341905389 683810778 1025716167 2051432334