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3402641 = 11261461
BaseRepresentation
bin1100111110101110010001
320101212112202
430332232101
51332341031
6200532545
740631144
oct14765621
96355482
103402641
111a14500
121181155
139219c8
1464805b
154732cb
hex33eb91

3402641 has 12 divisors (see below), whose sum is σ = 3809652. Its totient is φ = 3036000.

The previous prime is 3402613. The next prime is 3402647. The reversal of 3402641 is 1462043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 495616 + 2907025 = 704^2 + 1705^2 .

It is a de Polignac number, because none of the positive numbers 2k-3402641 is a prime.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3402647) 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 11 ways as a sum of consecutive naturals, for example, 7151 + ... + 7611.

It is an arithmetic number, because the mean of its divisors is an integer number (317471).

Almost surely, 23402641 is an apocalyptic number.

It is an amenable number.

3402641 is a deficient number, since it is larger than the sum of its proper divisors (407011).

3402641 is a wasteful number, since it uses less digits than its factorization.

3402641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3402641 is about 1844.6248941180. The cubic root of 3402641 is about 150.4083834404.

Adding to 3402641 its reverse (1462043), we get a palindrome (4864684).

The spelling of 3402641 in words is "three million, four hundred two thousand, six hundred forty-one".

Divisors: 1 11 61 121 461 671 5071 7381 28121 55781 309331 3402641