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2438778342 = 2371113491827
BaseRepresentation
bin1001000101011100…
…1100110111100110
320021221222202221210
42101113030313212
514443311401332
61041555252250
7114302162640
oct22127146746
96257882853
102438778342
1110416992a0
125808aa086
132cb345410
14191c75890
15e4185ecc
hex915ccde6

2438778342 has 128 divisors (see below), whose sum is σ = 6570160128. Its totient is φ = 582825600.

The previous prime is 2438778313. The next prime is 2438778371.

2438778342 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2438778313) and next prime (2438778371).

It is a junction number, because it is equal to n+sod(n) for n = 2438778291 and 2438778300.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2948533 + ... + 2949359.

It is an arithmetic number, because the mean of its divisors is an integer number (51329376).

Almost surely, 22438778342 is an apocalyptic number.

2438778342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2438778342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285080064).

2438778342 is an abundant number, since it is smaller than the sum of its proper divisors (4131381786).

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

2438778342 is a wasteful number, since it uses less digits than its factorization.

2438778342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354.

The product of its digits is 1806336, while the sum is 48.

The square root of 2438778342 is about 49383.9887210420. The cubic root of 2438778342 is about 1346.0383798292.

The spelling of 2438778342 in words is "two billion, four hundred thirty-eight million, seven hundred seventy-eight thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 491 546 827 858 982 1001 1473 1654 2002 2481 2946 3003 3437 4962 5401 5789 6006 6383 6874 9097 10311 10751 10802 11578 12766 16203 17367 18194 19149 20622 21502 27291 32253 32406 34734 37807 38298 44681 54582 63679 64506 70213 75257 75614 89362 113421 118261 127358 134043 140426 150514 191037 210639 225771 226842 236522 268086 354783 382074 406057 421278 451542 491491 709566 812114 827827 982982 1218171 1474473 1655654 2436342 2483481 2842399 2948946 4466627 4966962 5278741 5684798 8527197 8933254 10557482 13399881 15836223 17054394 26799762 31266389 31672446 36951187 58066151 62532778 73902374 93799167 110853561 116132302 174198453 187598334 221707122 348396906 406463057 812926114 1219389171 2438778342