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345378006 = 2343197709
BaseRepresentation
bin10100100101100…
…000110011010110
3220001220000120000
4110211200303112
51201404044011
654134352130
711362443651
oct2445406326
9801800500
10345378006
11167a58676
12977bb646
13567284ac
1433c26898
15204c4356
hex14960cd6

345378006 has 80 divisors (see below), whose sum is σ = 808241280. Its totient is φ = 110108160.

The previous prime is 345377999. The next prime is 345378013. The reversal of 345378006 is 600873543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (345377999) and next prime (345378013).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 486780 + ... + 487488.

It is an arithmetic number, because the mean of its divisors is an integer number (10103016).

Almost surely, 2345378006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345378006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404120640).

345378006 is an abundant number, since it is smaller than the sum of its proper divisors (462863274).

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

345378006 is a wasteful number, since it uses less digits than its factorization.

345378006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 345378006 is about 18584.3484147279. The cubic root of 345378006 is about 701.6139670257.

The spelling of 345378006 in words is "three hundred forty-five million, three hundred seventy-eight thousand, six".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 97 162 186 194 279 291 558 582 709 837 873 1418 1674 1746 2127 2511 2619 3007 4254 5022 5238 6014 6381 7857 9021 12762 15714 18042 19143 21979 27063 38286 43958 54126 57429 65937 68773 81189 114858 131874 137546 162378 197811 206319 243567 395622 412638 487134 593433 618957 1186866 1237914 1780299 1856871 2131963 3560598 3713742 4263926 5570613 6395889 11141226 12791778 19187667 38375334 57563001 115126002 172689003 345378006