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2034323343 = 3813172361
BaseRepresentation
bin111100101000001…
…0100111110001111
312020202221100000000
41321100110332033
513131241321333
6533510335343
7101261314563
oct17120247617
95222840000
102034323343
11954360268
1248935a553
13265604130
141542716a3
15bd8e2713
hex79414f8f

2034323343 has 144 divisors (see below), whose sum is σ = 3690138816. Its totient is φ = 1108546560.

The previous prime is 2034323341. The next prime is 2034323351. The reversal of 2034323343 is 3433234302.

It is not a de Polignac number, because 2034323343 - 21 = 2034323341 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034323341) 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 143 ways as a sum of consecutive naturals, for example, 33349533 + ... + 33349593.

It is an arithmetic number, because the mean of its divisors is an integer number (25625964).

Almost surely, 22034323343 is an apocalyptic number.

2034323343 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2034323343 is a deficient number, since it is larger than the sum of its proper divisors (1655815473).

2034323343 is an equidigital number, since it uses as much as digits as its factorization.

2034323343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

The square root of 2034323343 is about 45103.4737354009. The cubic root of 2034323343 is about 1267.0876583163.

Adding to 2034323343 its reverse (3433234302), we get a palindrome (5467557645).

The spelling of 2034323343 in words is "two billion, thirty-four million, three hundred twenty-three thousand, three hundred forty-three".

Divisors: 1 3 9 13 17 23 27 39 51 61 69 81 117 153 183 207 221 243 299 351 391 459 549 621 663 729 793 897 1037 1053 1173 1377 1403 1647 1863 1989 2187 2379 2691 3111 3159 3519 4131 4209 4941 5083 5589 5967 6561 7137 8073 9333 9477 10557 12393 12627 13481 14823 15249 16767 17901 18239 21411 23851 24219 27999 28431 31671 37179 37881 40443 44469 45747 50301 53703 54717 64233 71553 72657 83997 85293 95013 111537 113643 121329 133407 137241 150903 161109 164151 192699 214659 217971 251991 285039 310063 340929 363987 400221 411723 483327 492453 578097 643977 653913 755973 855117 930189 1022787 1091961 1235169 1449981 1477359 1734291 1931931 1961739 2267919 2565351 2790567 3068361 3275883 3705507 4432077 5202873 5795793 6803757 8371701 9205083 9827649 11116521 13296231 17387379 25115103 29482947 33349563 39888693 52162137 75345309 88448841 119666079 156486411 226035927 678107781 2034323343