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906781338 = 23329241487
BaseRepresentation
bin110110000011000…
…110001010011010
32100012021021011000
4312003012022122
53324114000323
6225551245430
731320341241
oct6603061232
92305237130
10906781338
11425944271
12213819876
13115b2c208
1488603958
155491ae43
hex360c629a

906781338 has 96 divisors (see below), whose sum is σ = 2142241920. Its totient is φ = 284135040.

The previous prime is 906781321. The next prime is 906781339. The reversal of 906781338 is 833187609.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 906781293 and 906781302.

It is not an unprimeable number, because it can be changed into a prime (906781339) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1861731 + ... + 1862217.

It is an arithmetic number, because the mean of its divisors is an integer number (22315020).

Almost surely, 2906781338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906781338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071120960).

906781338 is an abundant number, since it is smaller than the sum of its proper divisors (1235460582).

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

906781338 is a wasteful number, since it uses less digits than its factorization.

906781338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 906781338 is about 30112.8101976551. The cubic root of 906781338 is about 967.9082490787.

The spelling of 906781338 in words is "nine hundred six million, seven hundred eighty-one thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 29 41 54 58 82 87 123 174 246 261 369 487 522 738 783 841 974 1107 1189 1461 1566 1682 2214 2378 2523 2922 3567 4383 5046 7134 7569 8766 10701 13149 14123 15138 19967 21402 22707 26298 28246 32103 34481 39934 42369 45414 59901 64206 68962 84738 103443 119802 127107 179703 206886 254214 310329 359406 381321 409567 539109 579043 620658 762642 819134 930987 1078218 1158086 1228701 1737129 1861974 2457402 3474258 3686103 5211387 7372206 10422774 11058309 15634161 16792247 22116618 31268322 33584494 50376741 100753482 151130223 302260446 453390669 906781338