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3349038 = 237112659
BaseRepresentation
bin1100110001101000101110
320022011000110
430301220232
51324132123
6155440450
740315650
oct14615056
96264013
103349038
111988200
121156126
139034a4
146326d0
15462493
hex331a2e

3349038 has 48 divisors (see below), whose sum is σ = 8426880. Its totient is φ = 868560.

The previous prime is 3349037. The next prime is 3349039. The reversal of 3349038 is 8309433.

It is a happy number.

3349038 is digitally balanced in base 2, 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 (3349037) and next prime (3349039).

It is a super-2 number, since 2×33490382 = 22432111050888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3348996 and 3349014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3349033) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4753 + ... + 5411.

It is an arithmetic number, because the mean of its divisors is an integer number (175560).

Almost surely, 23349038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3349038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213440).

3349038 is an abundant number, since it is smaller than the sum of its proper divisors (5077842).

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

3349038 is a wasteful number, since it uses less digits than its factorization.

3349038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3349038 is about 1830.0377045296. The cubic root of 3349038 is about 149.6143873130.

The spelling of 3349038 in words is "three million, three hundred forty-nine thousand, thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 659 726 847 1318 1694 1977 2541 3954 4613 5082 7249 9226 13839 14498 21747 27678 43494 50743 79739 101486 152229 159478 239217 304458 478434 558173 1116346 1674519 3349038