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338448 = 24311641
BaseRepresentation
bin1010010101000010000
3122012021010
41102220100
541312243
611130520
72606505
oct1225020
9565233
10338448
11211310
12143a40
13bb086
148b4ac
156a433
hex52a10

338448 has 40 divisors (see below), whose sum is σ = 955296. Its totient is φ = 102400.

The previous prime is 338431. The next prime is 338449. The reversal of 338448 is 844833.

338448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3384482 = 229094097408, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338448.

It is not an unprimeable number, because it can be changed into a prime (338449) by changing a digit.

338448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208 + ... + 848.

2338448 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 338448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477648).

338448 is an abundant number, since it is smaller than the sum of its proper divisors (616848).

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

338448 is a wasteful number, since it uses less digits than its factorization.

338448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 338448 is about 581.7628382769. The cubic root of 338448 is about 69.6889601000.

It can be divided in two parts, 33 and 8448, that multiplied together give a square (278784 = 5282).

The spelling of 338448 in words is "three hundred thirty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 641 1282 1923 2564 3846 5128 7051 7692 10256 14102 15384 21153 28204 30768 42306 56408 84612 112816 169224 338448