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2044314342 = 233729434337
BaseRepresentation
bin111100111011001…
…1100001011100110
312021110201221002000
41321312130023212
513141321024332
6534504430130
7101442246060
oct17166341346
95243657060
102044314342
11959a64694
12490778346
132676c1875
14155712730
15be717b7c
hex79d9c2e6

2044314342 has 128 divisors (see below), whose sum is σ = 5497113600. Its totient is φ = 550706688.

The previous prime is 2044314341. The next prime is 2044314347. The reversal of 2044314342 is 2434134402.

It is a happy number.

2044314342 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 314 + 342 = 666.

It is a super-2 number, since 2×20443143422 = 8358442257813785928, which contains 22 as substring.

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 (2044314341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469198 + ... + 473534.

It is an arithmetic number, because the mean of its divisors is an integer number (42946200).

Almost surely, 22044314342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2044314342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748556800).

2044314342 is an abundant number, since it is smaller than the sum of its proper divisors (3452799258).

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

2044314342 is a wasteful number, since it uses less digits than its factorization.

2044314342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4427 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2044314342 is about 45214.0945060277. The cubic root of 2044314342 is about 1269.1585849908.

Adding to 2044314342 its reverse (2434134402), we get a palindrome (4478448744).

The spelling of 2044314342 in words is "two billion, forty-four million, three hundred fourteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 43 54 58 63 86 87 126 129 174 189 203 258 261 301 378 387 406 522 602 609 774 783 903 1161 1218 1247 1566 1806 1827 2322 2494 2709 3654 3741 4337 5418 5481 7482 8127 8674 8729 10962 11223 13011 16254 17458 22446 26022 26187 30359 33669 39033 52374 60718 67338 78066 78561 91077 117099 125773 157122 182154 186491 234198 235683 251546 273231 372982 377319 471366 546462 559473 754638 819693 880411 1118946 1131957 1305437 1639386 1678419 1760822 2263914 2610874 2641233 3356838 3395871 3916311 5035257 5282466 5408239 6791742 7832622 7923699 10070514 10816478 11748933 15847398 16224717 23497866 23771097 32449434 35246799 37857673 47542194 48674151 70493598 75715346 97348302 113573019 146022453 227146038 292044906 340719057 681438114 1022157171 2044314342