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3483414 = 2321173241
BaseRepresentation
bin1101010010011100010110
320112222100100
431102130112
51342432124
6202354530
741415504
oct15223426
96488310
103483414
111a6a160
1211bba46
1394c6bc
14669674
1548c1c9
hex352716

3483414 has 48 divisors (see below), whose sum is σ = 8380944. Its totient is φ = 1036800.

The previous prime is 3483413. The next prime is 3483433. The reversal of 3483414 is 4143843.

3483414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3483413) 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, 14334 + ... + 14574.

It is an arithmetic number, because the mean of its divisors is an integer number (174603).

Almost surely, 23483414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3483414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190472).

3483414 is an abundant number, since it is smaller than the sum of its proper divisors (4897530).

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

3483414 is a wasteful number, since it uses less digits than its factorization.

3483414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 330 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 3483414 is about 1866.3906343528. The cubic root of 3483414 is about 151.5892360600.

The spelling of 3483414 in words is "three million, four hundred eighty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 73 99 146 198 219 241 438 482 657 723 803 1314 1446 1606 2169 2409 2651 4338 4818 5302 7227 7953 14454 15906 17593 23859 35186 47718 52779 105558 158337 193523 316674 387046 580569 1161138 1741707 3483414