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672384 = 27317103
BaseRepresentation
bin10100100001010000000
31021011100010
42210022000
5133004014
622224520
75500206
oct2441200
91234303
10672384
1141a199
12285140
131a707b
14137076
15d4359
hexa4280

672384 has 64 divisors (see below), whose sum is σ = 1909440. Its totient is φ = 208896.

The previous prime is 672379. The next prime is 672439. The reversal of 672384 is 483276.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

672384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6477 + ... + 6579.

It is an arithmetic number, because the mean of its divisors is an integer number (29835).

2672384 is an apocalyptic number.

672384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954720).

672384 is an abundant number, since it is smaller than the sum of its proper divisors (1237056).

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

672384 is a wasteful number, since it uses less digits than its factorization.

672384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 672384 is about 819.9902438444. The cubic root of 672384 is about 87.6070635033.

It can be divided in two parts, 6 and 72384, that added together give a triangular number (72390 = T380).

The spelling of 672384 in words is "six hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 103 128 136 192 204 206 272 309 384 408 412 544 618 816 824 1088 1236 1632 1648 1751 2176 2472 3264 3296 3502 4944 5253 6528 6592 7004 9888 10506 13184 14008 19776 21012 28016 39552 42024 56032 84048 112064 168096 224128 336192 672384