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3505424 = 241319887
BaseRepresentation
bin1101010111110100010000
320121002112112
431113310100
51344133144
6203044452
741536616
oct15276420
96532475
103505424
111a8474a
121210728
13959720
146736b6
1549399e
hex357d10

3505424 has 40 divisors (see below), whose sum is σ = 7707840. Its totient is φ = 1531008.

The previous prime is 3505421. The next prime is 3505457. The reversal of 3505424 is 4245053.

3505424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3505424.

It is not an unprimeable number, because it can be changed into a prime (3505421) 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, 3509 + ... + 4395.

It is an arithmetic number, because the mean of its divisors is an integer number (192696).

Almost surely, 23505424 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 3505424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853920).

3505424 is an abundant number, since it is smaller than the sum of its proper divisors (4202416).

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

3505424 is a wasteful number, since it uses less digits than its factorization.

3505424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 3505424 is about 1872.2777571717. The cubic root of 3505424 is about 151.9078388687.

The spelling of 3505424 in words is "three million, five hundred five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 887 988 1774 1976 3548 3952 7096 11531 14192 16853 23062 33706 46124 67412 92248 134824 184496 219089 269648 438178 876356 1752712 3505424