Search a number
-
+
3386604 = 22313171277
BaseRepresentation
bin1100111010110011101100
320101001112210
430322303230
51331332404
6200330420
740533324
oct14726354
96331483
103386604
111a03451
121173a10
13917610
14642284
1546d689
hex33acec

3386604 has 48 divisors (see below), whose sum is σ = 9017568. Its totient is φ = 979968.

The previous prime is 3386599. The next prime is 3386609. The reversal of 3386604 is 4066833.

It is an interprime number because it is at equal distance from previous prime (3386599) and next prime (3386609).

It is a super-2 number, since 2×33866042 = 22938173305632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3386609) 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 15 ways as a sum of consecutive naturals, for example, 2014 + ... + 3290.

It is an arithmetic number, because the mean of its divisors is an integer number (187866).

Almost surely, 23386604 is an apocalyptic number.

3386604 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3386604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508784).

3386604 is an abundant number, since it is smaller than the sum of its proper divisors (5630964).

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

3386604 is a wasteful number, since it uses less digits than its factorization.

3386604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3386604 is about 1840.2728058633. The cubic root of 3386604 is about 150.1717144637.

The spelling of 3386604 in words is "three million, three hundred eighty-six thousand, six hundred four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1277 1326 2554 2652 3831 5108 7662 15324 16601 21709 33202 43418 49803 65127 66404 86836 99606 130254 199212 260508 282217 564434 846651 1128868 1693302 3386604