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3254240 = 25511432
BaseRepresentation
bin1100011010011111100000
320010022222102
430122133200
51313113430
6153425532
736442403
oct14323740
96108872
103254240
111922a60
12110b2a8
1389c2b2
14609d3a
15444345
hex31a7e0

3254240 has 72 divisors (see below), whose sum is σ = 8586648. Its totient is φ = 1155840.

The previous prime is 3254231. The next prime is 3254249. The reversal of 3254240 is 424523.

3254240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3254231) and next prime (3254249).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3254249) 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 11 ways as a sum of consecutive naturals, for example, 75659 + ... + 75701.

It is an arithmetic number, because the mean of its divisors is an integer number (119259).

Almost surely, 23254240 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 3254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293324).

3254240 is an abundant number, since it is smaller than the sum of its proper divisors (5332408).

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

3254240 is a wasteful number, since it uses less digits than its factorization.

3254240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 3254240 is about 1803.9512188527. The cubic root of 3254240 is about 148.1891907274.

Adding to 3254240 its reverse (424523), we get a palindrome (3678763).

The spelling of 3254240 in words is "three million, two hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 80 86 88 110 160 172 176 215 220 344 352 430 440 473 688 860 880 946 1376 1720 1760 1849 1892 2365 3440 3698 3784 4730 6880 7396 7568 9245 9460 14792 15136 18490 18920 20339 29584 36980 37840 40678 59168 73960 75680 81356 101695 147920 162712 203390 295840 325424 406780 650848 813560 1627120 3254240