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3399424 = 2872271
BaseRepresentation
bin1100111101111100000000
320101201010121
430331330000
51332240144
6200510024
740615600
oct14757400
96351117
103399424
111a12046
12117b314
139203c2
14646c00
15472384
hex33df00

3399424 has 54 divisors (see below), whose sum is σ = 7922544. Its totient is φ = 1451520.

The previous prime is 3399397. The next prime is 3399427. The reversal of 3399424 is 4249933.

3399424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3399424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3399427) 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 5 ways as a sum of consecutive naturals, for example, 12409 + ... + 12679.

Almost surely, 23399424 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 3399424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961272).

3399424 is an abundant number, since it is smaller than the sum of its proper divisors (4523120).

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

3399424 is an equidigital number, since it uses as much as digits as its factorization.

3399424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 280 counting only the distinct ones).

The product of its digits is 23328, while the sum is 34.

The square root of 3399424 is about 1843.7526949133. The cubic root of 3399424 is about 150.3609676891.

The spelling of 3399424 in words is "three million, three hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 271 392 448 542 784 896 1084 1568 1792 1897 2168 3136 3794 4336 6272 7588 8672 12544 13279 15176 17344 26558 30352 34688 53116 60704 69376 106232 121408 212464 242816 424928 485632 849856 1699712 3399424