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328416 = 25311311
BaseRepresentation
bin1010000001011100000
3121200111120
41100023200
541002131
611012240
72535324
oct1201340
9550446
10328416
11204820
1213a080
13b663a
1487984
1567496
hex502e0

328416 has 48 divisors (see below), whose sum is σ = 943488. Its totient is φ = 99200.

The previous prime is 328411. The next prime is 328421. The reversal of 328416 is 614823.

It can be divided in two parts, 32 and 8416, that added together give a palindrome (8448).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (328411) and next prime (328421).

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

It is a d-powerful number, because it can be written as 36 + 215 + 49 + 85 + 1 + 6 .

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328411) by changing a digit.

328416 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, 901 + ... + 1211.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2328416 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 328416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744).

328416 is an abundant number, since it is smaller than the sum of its proper divisors (615072).

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

328416 is a wasteful number, since it uses less digits than its factorization.

328416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 327 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 328416 is about 573.0759112020. The cubic root of 328416 is about 68.9934881483.

The spelling of 328416 in words is "three hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 311 352 528 622 933 1056 1244 1866 2488 3421 3732 4976 6842 7464 9952 10263 13684 14928 20526 27368 29856 41052 54736 82104 109472 164208 328416