Search a number
-
+
3244704 = 25373463
BaseRepresentation
bin1100011000001010100000
320002211220020
430120022200
51312312304
6153313440
736402531
oct14301240
96084806
103244704
111916881
121105880
13897b58
14606688
154415d9
hex3182a0

3244704 has 48 divisors (see below), whose sum is σ = 8652672. Its totient is φ = 1064448.

The previous prime is 3244697. The next prime is 3244711. The reversal of 3244704 is 4074423.

3244704 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (3244697) and next prime (3244711).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6777 + ... + 7239.

It is an arithmetic number, because the mean of its divisors is an integer number (180264).

Almost surely, 23244704 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 3244704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4326336).

3244704 is an abundant number, since it is smaller than the sum of its proper divisors (5407968).

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

3244704 is a wasteful number, since it uses less digits than its factorization.

3244704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 3244704 is about 1801.3061927390. The cubic root of 3244704 is about 148.0443013227.

The spelling of 3244704 in words is "three million, two hundred forty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 463 584 876 926 1168 1389 1752 1852 2336 2778 3504 3704 5556 7008 7408 11112 14816 22224 33799 44448 67598 101397 135196 202794 270392 405588 540784 811176 1081568 1622352 3244704