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379041606 = 2355913219
BaseRepresentation
bin10110100101111…
…011011101000110
3222102020022100000
4112211323131012
51234013312411
6101340102130
712251541366
oct2645733506
9872208300
10379041606
11184a60629
12a6b34946
13606b3b98
14384aa9a6
1523423956
hex1697b746

379041606 has 48 divisors (see below), whose sum is σ = 866174400. Its totient is φ = 124196328.

The previous prime is 379041589. The next prime is 379041631. The reversal of 379041606 is 606140973.

379041606 is a `hidden beast` number, since 3 + 7 + 9 + 0 + 41 + 606 = 666.

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 23 ways as a sum of consecutive naturals, for example, 22065 + ... + 35283.

It is an arithmetic number, because the mean of its divisors is an integer number (18045300).

Almost surely, 2379041606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379041606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433087200).

379041606 is an abundant number, since it is smaller than the sum of its proper divisors (487132794).

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

379041606 is a wasteful number, since it uses less digits than its factorization.

379041606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13295 (or 13283 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 379041606 is about 19468.9908829400. The cubic root of 379041606 is about 723.7062020799.

The spelling of 379041606 in words is "three hundred seventy-nine million, forty-one thousand, six hundred six".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 243 354 486 531 1062 1593 3186 4779 9558 13219 14337 26438 28674 39657 79314 118971 237942 356913 713826 779921 1070739 1559842 2141478 2339763 3212217 4679526 6424434 7019289 14038578 21057867 42115734 63173601 126347202 189520803 379041606