Search a number
-
+
349676505 = 32535322013
BaseRepresentation
bin10100110101111…
…010001111011001
3220100222101222200
4110311322033121
51204004122010
654410440413
711444126013
oct2465721731
9810871880
10349676505
1116a424152
1299133109
13575a1b99
14346251b3
1520a72cc0
hex14d7a3d9

349676505 has 24 divisors (see below), whose sum is σ = 607850568. Its totient is φ = 185957376.

The previous prime is 349676479. The next prime is 349676527. The reversal of 349676505 is 505676943.

It can be written as a sum of positive squares in 4 ways, for example, as 46498761 + 303177744 = 6819^2 + 17412^2 .

It is not a de Polignac number, because 349676505 - 26 = 349676441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an alternating number because its digits alternate between odd and even.

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, 4879 + ... + 26891.

It is an arithmetic number, because the mean of its divisors is an integer number (25327107).

Almost surely, 2349676505 is an apocalyptic number.

It is an amenable number.

349676505 is a deficient number, since it is larger than the sum of its proper divisors (258174063).

349676505 is a wasteful number, since it uses less digits than its factorization.

349676505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22377 (or 22374 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 349676505 is about 18699.6391676417. The cubic root of 349676505 is about 704.5126857171.

The spelling of 349676505 in words is "three hundred forty-nine million, six hundred seventy-six thousand, five hundred five".

Divisors: 1 3 5 9 15 45 353 1059 1765 3177 5295 15885 22013 66039 110065 198117 330195 990585 7770589 23311767 38852945 69935301 116558835 349676505