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674016 = 25371759
BaseRepresentation
bin10100100100011100000
31021020120120
42210203200
5133032031
622240240
75505030
oct2444340
91236516
10674016
11420442
12286080
131a7a35
141378c0
15d4a96
hexa48e0

674016 has 96 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 178176.

The previous prime is 673991. The next prime is 674017. The reversal of 674016 is 610476.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11395 + ... + 11453.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2674016 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 674016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

674016 is an abundant number, since it is smaller than the sum of its proper divisors (1503264).

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

674016 is a wasteful number, since it uses less digits than its factorization.

674016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 674016 is about 820.9847745239. The cubic root of 674016 is about 87.6778857359.

The spelling of 674016 in words is "six hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 59 68 84 96 102 112 118 119 136 168 177 204 224 236 238 272 336 354 357 408 413 472 476 544 672 708 714 816 826 944 952 1003 1239 1416 1428 1632 1652 1888 1904 2006 2478 2832 2856 3009 3304 3808 4012 4956 5664 5712 6018 6608 7021 8024 9912 11424 12036 13216 14042 16048 19824 21063 24072 28084 32096 39648 42126 48144 56168 84252 96288 112336 168504 224672 337008 674016