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3240384 = 26372411
BaseRepresentation
bin1100010111000111000000
320002121222020
430113013000
51312143014
6153241440
736354120
oct14270700
96077866
103240384
111913604
121103280
13895bb4
14604c80
154401a9
hex3171c0

3240384 has 56 divisors (see below), whose sum is σ = 9802368. Its totient is φ = 925440.

The previous prime is 3240371. The next prime is 3240389. The reversal of 3240384 is 4830423.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3240389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139 + ... + 2549.

Almost surely, 23240384 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 3240384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901184).

3240384 is an abundant number, since it is smaller than the sum of its proper divisors (6561984).

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

3240384 is a wasteful number, since it uses less digits than its factorization.

With its successor (3240385) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2423).

3240384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3240384 is about 1800.1066635064. The cubic root of 3240384 is about 147.9785700649.

The spelling of 3240384 in words is "three million, two hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 2411 4822 7233 9644 14466 16877 19288 28932 33754 38576 50631 57864 67508 77152 101262 115728 135016 154304 202524 231456 270032 405048 462912 540064 810096 1080128 1620192 3240384