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3420657 = 33126691
BaseRepresentation
bin1101000011000111110001
320102210021000
431003013301
51333430112
6201152213
741034522
oct15030761
96383230
103420657
111a26a99
12118b669
13929c76
14650849
154787dc
hex3431f1

3420657 has 8 divisors (see below), whose sum is σ = 5067680. Its totient is φ = 2280420.

The previous prime is 3420653. The next prime is 3420667. The reversal of 3420657 is 7560243.

It is a happy number.

3420657 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 657 = 666.

3420657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3420657 - 22 = 3420653 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 126691 = 3420657 / (3 + 4 + 2 + 0 + 6 + 5 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3420657.

It is not an unprimeable number, because it can be changed into a prime (3420653) 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 7 ways as a sum of consecutive naturals, for example, 63319 + ... + 63372.

It is an arithmetic number, because the mean of its divisors is an integer number (633460).

Almost surely, 23420657 is an apocalyptic number.

It is an amenable number.

3420657 is a deficient number, since it is larger than the sum of its proper divisors (1647023).

3420657 is a wasteful number, since it uses less digits than its factorization.

3420657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126700 (or 126694 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3420657 is about 1849.5018248166. The cubic root of 3420657 is about 150.6733726055.

The spelling of 3420657 in words is "three million, four hundred twenty thousand, six hundred fifty-seven".

Divisors: 1 3 9 27 126691 380073 1140219 3420657