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3408642 = 23453397
BaseRepresentation
bin1101000000001100000010
320102011210000
431000030002
51333034032
6201020430
740654506
oct15001402
96364700
103408642
111a18a66
121184716
13924663
1464a306
15474e7c
hex340302

3408642 has 40 divisors (see below), whose sum is σ = 7801596. Its totient is φ = 1111968.

The previous prime is 3408641. The next prime is 3408659. The reversal of 3408642 is 2468043.

It can be written as a sum of positive squares in 2 ways, for example, as 3272481 + 136161 = 1809^2 + 369^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3408641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8388 + ... + 8784.

Almost surely, 23408642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3408642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900798).

3408642 is an abundant number, since it is smaller than the sum of its proper divisors (4392954).

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

3408642 is a wasteful number, since it uses less digits than its factorization.

3408642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 455 counting only the distinct ones).

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

The square root of 3408642 is about 1846.2507955313. The cubic root of 3408642 is about 150.4967530931.

The spelling of 3408642 in words is "three million, four hundred eight thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 397 477 794 954 1191 1431 2382 2862 3573 4293 7146 8586 10719 21041 21438 32157 42082 63123 64314 126246 189369 378738 568107 1136214 1704321 3408642