Search a number
-
+
341377806 = 237211283373
BaseRepresentation
bin10100010110010…
…000001100001110
3212210100210022110
4110112100030032
51144343042211
653512524450
711313443400
oct2426201416
9783323273
10341377806
11165776220
12963b0726
1355957803
14334a4b70
151ee83ea6
hex1459030e

341377806 has 96 divisors (see below), whose sum is σ = 871820928. Its totient is φ = 88119360.

The previous prime is 341377793. The next prime is 341377819. The reversal of 341377806 is 608773143.

341377806 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (341377793) and next prime (341377819).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915036 + ... + 915408.

It is an arithmetic number, because the mean of its divisors is an integer number (9081468).

Almost surely, 2341377806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341377806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435910464).

341377806 is an abundant number, since it is smaller than the sum of its proper divisors (530443122).

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

341377806 is a wasteful number, since it uses less digits than its factorization.

341377806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 341377806 is about 18476.4121517139. The cubic root of 341377806 is about 698.8947223872.

The spelling of 341377806 in words is "three hundred forty-one million, three hundred seventy-seven thousand, eight hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 283 294 373 462 539 566 746 849 1078 1119 1617 1698 1981 2238 2611 3113 3234 3962 4103 5222 5943 6226 7833 8206 9339 11886 12309 13867 15666 18277 18678 21791 24618 27734 28721 36554 41601 43582 54831 57442 65373 83202 86163 105559 109662 130746 152537 172326 201047 211118 305074 316677 402094 457611 603141 633354 738913 915222 1161149 1206282 1477826 2216739 2322298 3483447 4433478 5172391 6966894 8128043 10344782 15517173 16256086 24384129 31034346 48768258 56896301 113792602 170688903 341377806