Search a number
-
+
3349788 = 22313109197
BaseRepresentation
bin1100110001110100011100
320022012001020
430301310130
51324143123
6155444140
740321101
oct14616434
96265036
103349788
111988822
121156650
13903930
14632aa8
154627e3
hex331d1c

3349788 has 48 divisors (see below), whose sum is σ = 8537760. Its totient is φ = 1016064.

The previous prime is 3349783. The next prime is 3349793. The reversal of 3349788 is 8879433.

3349788 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 (3349783) and next prime (3349793).

It is a super-2 number, since 2×33497882 = 22442159289888, which contains 22 as substring.

It is a d-powerful number, because it can be written as 312 + 312 + 48 + 94 + 76 + 8 + 87 .

Its product of digits (145152) is a multiple of the sum of its prime divisors (324).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3349783) 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 15 ways as a sum of consecutive naturals, for example, 16906 + ... + 17102.

It is an arithmetic number, because the mean of its divisors is an integer number (177870).

Almost surely, 23349788 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3349788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268880).

3349788 is an abundant number, since it is smaller than the sum of its proper divisors (5187972).

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

3349788 is a wasteful number, since it uses less digits than its factorization.

3349788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 324 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 3349788 is about 1830.2426068694. The cubic root of 3349788 is about 149.6255549393.

The spelling of 3349788 in words is "three million, three hundred forty-nine thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 156 197 218 327 394 436 591 654 788 1182 1308 1417 2364 2561 2834 4251 5122 5668 7683 8502 10244 15366 17004 21473 30732 42946 64419 85892 128838 257676 279149 558298 837447 1116596 1674894 3349788