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3404896 = 251117569
BaseRepresentation
bin1100111111010001100000
320101222122021
430333101200
51332424041
6200551224
740640545
oct14772140
96358567
103404896
111a16170
121182514
13922a41
14648bcc
15473cd1
hex33f460

3404896 has 48 divisors (see below), whose sum is σ = 7756560. Its totient is φ = 1454080.

The previous prime is 3404893. The next prime is 3404911. The reversal of 3404896 is 6984043.

3404896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404893) 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, 5700 + ... + 6268.

It is an arithmetic number, because the mean of its divisors is an integer number (161595).

Almost surely, 23404896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3404896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878280).

3404896 is an abundant number, since it is smaller than the sum of its proper divisors (4351664).

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

3404896 is a wasteful number, since it uses less digits than its factorization.

3404896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 3404896 is about 1845.2360282631. The cubic root of 3404896 is about 150.4416023437.

The spelling of 3404896 in words is "three million, four hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 569 748 1138 1496 2276 2992 4552 5984 6259 9104 9673 12518 18208 19346 25036 38692 50072 77384 100144 106403 154768 200288 212806 309536 425612 851224 1702448 3404896