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2034103344 = 2437134571019
BaseRepresentation
bin111100100111101…
…1111010000110000
312020202112011012220
41321033133100300
513131212301334
6533501521040
7101256410310
oct17117372060
95222464186
102034103344
1195421aa49
12489273180
13265557c60
14154215440
15bd89c449
hex793df430

2034103344 has 160 divisors (see below), whose sum is σ = 6487918080. Its totient is φ = 534767616.

The previous prime is 2034103339. The next prime is 2034103369. The reversal of 2034103344 is 4433014302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1995667 + ... + 1996685.

It is an arithmetic number, because the mean of its divisors is an integer number (40549488).

Almost surely, 22034103344 is an apocalyptic number.

2034103344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034103344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243959040).

2034103344 is an abundant number, since it is smaller than the sum of its proper divisors (4453814736).

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

2034103344 is a wasteful number, since it uses less digits than its factorization.

2034103344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2034103344 is about 45101.0348440033. The cubic root of 2034103344 is about 1267.0419808730.

Adding to 2034103344 its reverse (4433014302), we get a palindrome (6467117646).

The spelling of 2034103344 in words is "two billion, thirty-four million, one hundred three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 457 546 624 728 914 1019 1092 1371 1456 1828 2038 2184 2742 3057 3199 3656 4076 4368 5484 5941 6114 6398 7133 7312 8152 9597 10968 11882 12228 12796 13247 14266 16304 17823 19194 21399 21936 23764 24456 25592 26494 28532 35646 38388 39741 41587 42798 47528 48912 51184 52988 57064 71292 76776 79482 83174 85596 92729 95056 105976 114128 124761 142584 153552 158964 166348 171192 185458 211952 249522 278187 285168 317928 332696 342384 370916 465683 499044 556374 635856 665392 741832 931366 998088 1112748 1397049 1483664 1862732 1996176 2225496 2794098 3259781 3725464 4450992 5588196 6053879 6519562 7450928 9779343 11176392 12107758 13039124 18161637 19558686 22352784 24215516 26078248 36323274 39117372 42377153 48431032 52156496 72646548 78234744 84754306 96862064 127131459 145293096 156469488 169508612 254262918 290586192 339017224 508525836 678034448 1017051672 2034103344