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3444896 = 2572133
BaseRepresentation
bin1101001001000010100000
320111000111202
431021002200
51340214041
6201500332
741165300
oct15110240
96430452
103444896
111a43224
1211a16a8
13938000
14659600
15480a9b
hex3490a0

3444896 has 72 divisors (see below), whose sum is σ = 8546580. Its totient is φ = 1362816.

The previous prime is 3444893. The next prime is 3444899. The reversal of 3444896 is 6984443.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (3444893) and next prime (3444899).

It can be written as a sum of positive squares in 2 ways, for example, as 1073296 + 2371600 = 1036^2 + 1540^2 .

It is not an unprimeable number, because it can be changed into a prime (3444893) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 264986 + ... + 264998.

Almost surely, 23444896 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 3444896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273290).

3444896 is an abundant number, since it is smaller than the sum of its proper divisors (5101684).

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

3444896 is an equidigital number, since it uses as much as digits as its factorization.

3444896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 22 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 3444896 is about 1856.0431029478. The cubic root of 3444896 is about 151.0284290727.

The spelling of 3444896 in words is "three million, four hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 169 182 196 208 224 338 364 392 416 637 676 728 784 1183 1274 1352 1456 1568 2197 2366 2548 2704 2912 4394 4732 5096 5408 8281 8788 9464 10192 15379 16562 17576 18928 20384 30758 33124 35152 37856 61516 66248 70304 107653 123032 132496 215306 246064 264992 430612 492128 861224 1722448 3444896