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319862106 = 232173972633
BaseRepresentation
bin10011000100001…
…011010101011010
3211021212200022200
4103010023111122
51123341041411
651423431030
710632532404
oct2304132532
9737780280
10319862106
11154610153
128b155476
1351363525
14306a3b74
151d133e56
hex1310b55a

319862106 has 48 divisors (see below), whose sum is σ = 735929064. Its totient is φ = 100058112.

The previous prime is 319862063. The next prime is 319862111. The reversal of 319862106 is 601268913.

It can be written as a sum of positive squares in 4 ways, for example, as 283754025 + 36108081 = 16845^2 + 6009^2 .

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 23 ways as a sum of consecutive naturals, for example, 120166 + ... + 122798.

Almost surely, 2319862106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319862106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367964532).

319862106 is an abundant number, since it is smaller than the sum of its proper divisors (416066958).

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

319862106 is a wasteful number, since it uses less digits than its factorization.

319862106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 319862106 is about 17884.6891502201. The cubic root of 319862106 is about 683.8921164620.

The spelling of 319862106 in words is "three hundred nineteen million, eight hundred sixty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 397 794 1191 2382 2633 3573 5266 6749 7146 7899 13498 15798 20247 23697 40494 44761 47394 60741 89522 121482 134283 268566 402849 805698 1045301 2090602 3135903 6271806 9407709 17770117 18815418 35540234 53310351 106620702 159931053 319862106