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379742808 = 233311573251
BaseRepresentation
bin10110101000100…
…110101001011000
3222110112221012110
4112220212221120
51234203232213
6101403112320
712260521614
oct2650465130
9873487173
10379742808
1118539a435
12a72126a0
136089b0b3
1438610344
15235115c3
hex16a26a58

379742808 has 64 divisors (see below), whose sum is σ = 986526720. Its totient is φ = 121680000.

The previous prime is 379742773. The next prime is 379742813. The reversal of 379742808 is 808247973.

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 15 ways as a sum of consecutive naturals, for example, 115183 + ... + 118433.

It is an arithmetic number, because the mean of its divisors is an integer number (15414480).

Almost surely, 2379742808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379742808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493263360).

379742808 is an abundant number, since it is smaller than the sum of its proper divisors (606783912).

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

379742808 is a wasteful number, since it uses less digits than its factorization.

379742808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 379742808 is about 19486.9907374125. The cubic root of 379742808 is about 724.1521967714.

The spelling of 379742808 in words is "three hundred seventy-nine million, seven hundred forty-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 157 186 248 314 372 471 628 744 942 1256 1884 3251 3768 4867 6502 9734 9753 13004 14601 19468 19506 26008 29202 38936 39012 58404 78024 100781 116808 201562 302343 403124 510407 604686 806248 1020814 1209372 1531221 2041628 2418744 3062442 4083256 6124884 12249768 15822617 31645234 47467851 63290468 94935702 126580936 189871404 379742808