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672984 = 233213719
BaseRepresentation
bin10100100010011011000
31021012011100
42210103120
5133013414
622231400
75502024
oct2442330
91235140
10672984
1141a694
12285560
131a7420
14137384
15d4609
hexa44d8

672984 has 48 divisors (see below), whose sum is σ = 1965600. Its totient is φ = 206784.

The previous prime is 672983. The next prime is 673019. The reversal of 672984 is 489276.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 577 + ... + 1295.

It is an arithmetic number, because the mean of its divisors is an integer number (40950).

2672984 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 672984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982800).

672984 is an abundant number, since it is smaller than the sum of its proper divisors (1292616).

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

672984 is a wasteful number, since it uses less digits than its factorization.

672984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 737 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 672984 is about 820.3560202741. The cubic root of 672984 is about 87.6331143962.

The spelling of 672984 in words is "six hundred seventy-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 719 936 1438 2157 2876 4314 5752 6471 8628 9347 12942 17256 18694 25884 28041 37388 51768 56082 74776 84123 112164 168246 224328 336492 672984