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679328 = 25132371
BaseRepresentation
bin10100101110110100000
31021111212022
42211312200
5133214303
622321012
75526356
oct2456640
91244768
10679328
11424431
12289168
131aa290
141397d6
15d6438
hexa5da0

679328 has 48 divisors (see below), whose sum is σ = 1524096. Its totient is φ = 295680.

The previous prime is 679319. The next prime is 679333. The reversal of 679328 is 823976.

It is a super-2 number, since 2×6793282 = 922973063168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9533 + ... + 9603.

It is an arithmetic number, because the mean of its divisors is an integer number (31752).

2679328 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 679328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762048).

679328 is an abundant number, since it is smaller than the sum of its proper divisors (844768).

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

679328 is a wasteful number, since it uses less digits than its factorization.

679328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 679328 is about 824.2135645571. The cubic root of 679328 is about 87.9076165473.

The spelling of 679328 in words is "six hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 71 92 104 142 184 208 284 299 368 416 568 598 736 923 1136 1196 1633 1846 2272 2392 3266 3692 4784 6532 7384 9568 13064 14768 21229 26128 29536 42458 52256 84916 169832 339664 679328