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3404947 = 713173171
BaseRepresentation
bin1100111111010010010011
320101222201011
430333102103
51332424242
6200551351
740640650
oct14772223
96358634
103404947
111a16207
121182557
13922a80
14648c27
15473d17
hex33f493

3404947 has 32 divisors (see below), whose sum is σ = 4644864. Its totient is φ = 2419200.

The previous prime is 3404923. The next prime is 3404969. The reversal of 3404947 is 7494043.

It is not a de Polignac number, because 3404947 - 211 = 3402899 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (3404147) 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 31 ways as a sum of consecutive naturals, for example, 47922 + ... + 47992.

It is an arithmetic number, because the mean of its divisors is an integer number (145152).

Almost surely, 23404947 is an apocalyptic number.

3404947 is the 923-rd decagonal number.

3404947 is a deficient number, since it is larger than the sum of its proper divisors (1239917).

3404947 is a wasteful number, since it uses less digits than its factorization.

3404947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139.

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 3404947 is about 1845.2498475816. The cubic root of 3404947 is about 150.4423534663.

The spelling of 3404947 in words is "three million, four hundred four thousand, nine hundred forty-seven".

Divisors: 1 7 13 17 31 71 91 119 217 221 403 497 527 923 1207 1547 2201 2821 3689 6461 6851 8449 15407 15691 28613 37417 47957 109837 200291 261919 486421 3404947