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3389106 = 2371931137
BaseRepresentation
bin1100111011011010110010
320101011222110
430323122302
51331422411
6200350150
740543530
oct14733262
96334873
103389106
111a05316
121175356
139187b6
14643150
1546e2a6
hex33b6b2

3389106 has 64 divisors (see below), whose sum is σ = 8478720. Its totient is φ = 881280.

The previous prime is 3389093. The next prime is 3389107. The reversal of 3389106 is 6019833.

3389106 is a nontrivial binomial coefficient, being equal to C(2604, 2).

It is a super-2 number, since 2×33891062 = 22972078958472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3389107) 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 31 ways as a sum of consecutive naturals, for example, 24670 + ... + 24806.

It is an arithmetic number, because the mean of its divisors is an integer number (132480).

Almost surely, 23389106 is an apocalyptic number.

3389106 is the 2603-rd triangular number and also the 1302-nd hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3389106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239360).

3389106 is an abundant number, since it is smaller than the sum of its proper divisors (5089614).

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

3389106 is a wasteful number, since it uses less digits than its factorization.

3389106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3389106 is about 1840.9524708694. The cubic root of 3389106 is about 150.2086873072.

The spelling of 3389106 in words is "three million, three hundred eighty-nine thousand, one hundred six".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 62 93 114 133 137 186 217 266 274 399 411 434 589 651 798 822 959 1178 1302 1767 1918 2603 2877 3534 4123 4247 5206 5754 7809 8246 8494 12369 12741 15618 18221 24738 25482 29729 36442 54663 59458 80693 89187 109326 161386 178374 242079 484158 564851 1129702 1694553 3389106